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Finding the Fourth Proportional to 15,505.71, 23,252.49 and 6,734.63

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Solution

The fourth proportional to 15,505.71, 23,252.49 and 6,734.63 is: 10,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.71 : 23,252.49 = 6,734.63 : x
  2. Step 2: Convert to fraction form
    15,505.71/23,252.49 = 6,734.63/x
  3. Step 3: Cross multiply
    15,505.71x = 23,252.49 × 6,734.63
  4. Step 4: Simplify right side
    15,505.71x = 156,596,800.47
  5. Step 5: Solve for x
    x = 156,596,800.47/15,505.71
  6. Step 6: Final answer
    x = 10,099.30

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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.