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Finding the Fourth Proportional to 15,384.16, 23,086.32 and 8,463.52

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Solution

The fourth proportional to 15,384.16, 23,086.32 and 8,463.52 is: 12,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.16 : 23,086.32 = 8,463.52 : x
  2. Step 2: Convert to fraction form
    15,384.16/23,086.32 = 8,463.52/x
  3. Step 3: Cross multiply
    15,384.16x = 23,086.32 × 8,463.52
  4. Step 4: Simplify right side
    15,384.16x = 195,391,531.05
  5. Step 5: Solve for x
    x = 195,391,531.05/15,384.16
  6. Step 6: Final answer
    x = 12,700.83

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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.