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Finding the Fourth Proportional to 15,589.71, 23,383.86 and 5,728.27

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Solution

The fourth proportional to 15,589.71, 23,383.86 and 5,728.27 is: 8,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.71 : 23,383.86 = 5,728.27 : x
  2. Step 2: Convert to fraction form
    15,589.71/23,383.86 = 5,728.27/x
  3. Step 3: Cross multiply
    15,589.71x = 23,383.86 × 5,728.27
  4. Step 4: Simplify right side
    15,589.71x = 133,949,005.26
  5. Step 5: Solve for x
    x = 133,949,005.26/15,589.71
  6. Step 6: Final answer
    x = 8,592.14

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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.