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Finding the Fourth Proportional to 13,732.32, 18,951.66 and 7,764.11

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Solution

The fourth proportional to 13,732.32, 18,951.66 and 7,764.11 is: 10,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.32 : 18,951.66 = 7,764.11 : x
  2. Step 2: Convert to fraction form
    13,732.32/18,951.66 = 7,764.11/x
  3. Step 3: Cross multiply
    13,732.32x = 18,951.66 × 7,764.11
  4. Step 4: Simplify right side
    13,732.32x = 147,142,772.92
  5. Step 5: Solve for x
    x = 147,142,772.92/13,732.32
  6. Step 6: Final answer
    x = 10,715.07

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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.