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Finding the Fourth Proportional to 15,137.40, 22,706.10 and 10,471.80

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Solution

The fourth proportional to 15,137.40, 22,706.10 and 10,471.80 is: 15,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.40 : 22,706.10 = 10,471.80 : x
  2. Step 2: Convert to fraction form
    15,137.40/22,706.10 = 10,471.80/x
  3. Step 3: Cross multiply
    15,137.40x = 22,706.10 × 10,471.80
  4. Step 4: Simplify right side
    15,137.40x = 237,773,737.98
  5. Step 5: Solve for x
    x = 237,773,737.98/15,137.40
  6. Step 6: Final answer
    x = 15,707.70

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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.