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Finding the Fourth Proportional to 14,757.05, 20,364.14 and 8,042.54

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Solution

The fourth proportional to 14,757.05, 20,364.14 and 8,042.54 is: 11,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.05 : 20,364.14 = 8,042.54 : x
  2. Step 2: Convert to fraction form
    14,757.05/20,364.14 = 8,042.54/x
  3. Step 3: Cross multiply
    14,757.05x = 20,364.14 × 8,042.54
  4. Step 4: Simplify right side
    14,757.05x = 163,779,410.52
  5. Step 5: Solve for x
    x = 163,779,410.52/14,757.05
  6. Step 6: Final answer
    x = 11,098.38

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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.