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Finding the Fourth Proportional to 13,782.96, 20,646.90 and 10,042.38

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Solution

The fourth proportional to 13,782.96, 20,646.90 and 10,042.38 is: 15,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.96 : 20,646.90 = 10,042.38 : x
  2. Step 2: Convert to fraction form
    13,782.96/20,646.90 = 10,042.38/x
  3. Step 3: Cross multiply
    13,782.96x = 20,646.90 × 10,042.38
  4. Step 4: Simplify right side
    13,782.96x = 207,344,015.62
  5. Step 5: Solve for x
    x = 207,344,015.62/13,782.96
  6. Step 6: Final answer
    x = 15,043.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.