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Finding the Fourth Proportional to 14,513.55, 20,024.24 and 9,400.97

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Solution

The fourth proportional to 14,513.55, 20,024.24 and 9,400.97 is: 12,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.55 : 20,024.24 = 9,400.97 : x
  2. Step 2: Convert to fraction form
    14,513.55/20,024.24 = 9,400.97/x
  3. Step 3: Cross multiply
    14,513.55x = 20,024.24 × 9,400.97
  4. Step 4: Simplify right side
    14,513.55x = 188,247,132.39
  5. Step 5: Solve for x
    x = 188,247,132.39/14,513.55
  6. Step 6: Final answer
    x = 12,970.44

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