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Finding the Fourth Proportional to 13,838.18, 20,752.17 and 4,951.10

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Solution

The fourth proportional to 13,838.18, 20,752.17 and 4,951.10 is: 7,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.18 : 20,752.17 = 4,951.10 : x
  2. Step 2: Convert to fraction form
    13,838.18/20,752.17 = 4,951.10/x
  3. Step 3: Cross multiply
    13,838.18x = 20,752.17 × 4,951.10
  4. Step 4: Simplify right side
    13,838.18x = 102,745,965.13
  5. Step 5: Solve for x
    x = 102,745,965.13/13,838.18
  6. Step 6: Final answer
    x = 7,424.82

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