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Finding the Fourth Proportional to 15,913.28, 23,864.16 and 7,592.96

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Solution

The fourth proportional to 15,913.28, 23,864.16 and 7,592.96 is: 11,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.28 : 23,864.16 = 7,592.96 : x
  2. Step 2: Convert to fraction form
    15,913.28/23,864.16 = 7,592.96/x
  3. Step 3: Cross multiply
    15,913.28x = 23,864.16 × 7,592.96
  4. Step 4: Simplify right side
    15,913.28x = 181,199,612.31
  5. Step 5: Solve for x
    x = 181,199,612.31/15,913.28
  6. Step 6: Final answer
    x = 11,386.69

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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.