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Finding the Fourth Proportional to 13,662,760.86, 18,854,577.45 and 7,782,394.14

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Solution

The fourth proportional to 13,662,760.86, 18,854,577.45 and 7,782,394.14 is: 10,739,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662,760.86 : 18,854,577.45 = 7,782,394.14 : x
  2. Step 2: Convert to fraction form
    13,662,760.86/18,854,577.45 = 7,782,394.14/x
  3. Step 3: Cross multiply
    13,662,760.86x = 18,854,577.45 × 7,782,394.14
  4. Step 4: Simplify right side
    13,662,760.86x = 146,733,753,059,056.12
  5. Step 5: Solve for x
    x = 146,733,753,059,056.12/13,662,760.86
  6. Step 6: Final answer
    x = 10,739,685.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.