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Finding the Fourth Proportional to 23,432.69, 35,149.08 and 5,902.40

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Solution

The fourth proportional to 23,432.69, 35,149.08 and 5,902.40 is: 8,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.69 : 35,149.08 = 5,902.40 : x
  2. Step 2: Convert to fraction form
    23,432.69/35,149.08 = 5,902.40/x
  3. Step 3: Cross multiply
    23,432.69x = 35,149.08 × 5,902.40
  4. Step 4: Simplify right side
    23,432.69x = 207,463,929.79
  5. Step 5: Solve for x
    x = 207,463,929.79/23,432.69
  6. Step 6: Final answer
    x = 8,853.61

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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.