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Finding the Fourth Proportional to 24,711.55, 34,102.52 and 14,102.17

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Solution

The fourth proportional to 24,711.55, 34,102.52 and 14,102.17 is: 19,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.55 : 34,102.52 = 14,102.17 : x
  2. Step 2: Convert to fraction form
    24,711.55/34,102.52 = 14,102.17/x
  3. Step 3: Cross multiply
    24,711.55x = 34,102.52 × 14,102.17
  4. Step 4: Simplify right side
    24,711.55x = 480,919,431.58
  5. Step 5: Solve for x
    x = 480,919,431.58/24,711.55
  6. Step 6: Final answer
    x = 19,461.32

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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.