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Finding the Fourth Proportional to 13,385.47, 18,472.56 and 7,417.14

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Solution

The fourth proportional to 13,385.47, 18,472.56 and 7,417.14 is: 10,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.47 : 18,472.56 = 7,417.14 : x
  2. Step 2: Convert to fraction form
    13,385.47/18,472.56 = 7,417.14/x
  3. Step 3: Cross multiply
    13,385.47x = 18,472.56 × 7,417.14
  4. Step 4: Simplify right side
    13,385.47x = 137,013,466.59
  5. Step 5: Solve for x
    x = 137,013,466.59/13,385.47
  6. Step 6: Final answer
    x = 10,235.99

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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.