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Finding the Fourth Proportional to 15,737.28, 23,604.16 and 9,876.48

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Solution

The fourth proportional to 15,737.28, 23,604.16 and 9,876.48 is: 14,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.28 : 23,604.16 = 9,876.48 : x
  2. Step 2: Convert to fraction form
    15,737.28/23,604.16 = 9,876.48/x
  3. Step 3: Cross multiply
    15,737.28x = 23,604.16 × 9,876.48
  4. Step 4: Simplify right side
    15,737.28x = 233,126,014.16
  5. Step 5: Solve for x
    x = 233,126,014.16/15,737.28
  6. Step 6: Final answer
    x = 14,813.62

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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.