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Finding the Fourth Proportional to 15,589.96, 23,384.18 and 5,728.48

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Solution

The fourth proportional to 15,589.96, 23,384.18 and 5,728.48 is: 8,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.96 : 23,384.18 = 5,728.48 : x
  2. Step 2: Convert to fraction form
    15,589.96/23,384.18 = 5,728.48/x
  3. Step 3: Cross multiply
    15,589.96x = 23,384.18 × 5,728.48
  4. Step 4: Simplify right side
    15,589.96x = 133,955,807.45
  5. Step 5: Solve for x
    x = 133,955,807.45/15,589.96
  6. Step 6: Final answer
    x = 8,592.44

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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.