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Finding the Fourth Proportional to 15,760.49, 23,640.71 and 10,815.12

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Solution

The fourth proportional to 15,760.49, 23,640.71 and 10,815.12 is: 16,222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760.49 : 23,640.71 = 10,815.12 : x
  2. Step 2: Convert to fraction form
    15,760.49/23,640.71 = 10,815.12/x
  3. Step 3: Cross multiply
    15,760.49x = 23,640.71 × 10,815.12
  4. Step 4: Simplify right side
    15,760.49x = 255,677,061.46
  5. Step 5: Solve for x
    x = 255,677,061.46/15,760.49
  6. Step 6: Final answer
    x = 16,222.66

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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.