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Finding the Fourth Proportional to 21,424.50, 32,138.78 and 5,842.13

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Solution

The fourth proportional to 21,424.50, 32,138.78 and 5,842.13 is: 8,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.50 : 32,138.78 = 5,842.13 : x
  2. Step 2: Convert to fraction form
    21,424.50/32,138.78 = 5,842.13/x
  3. Step 3: Cross multiply
    21,424.50x = 32,138.78 × 5,842.13
  4. Step 4: Simplify right side
    21,424.50x = 187,758,740.90
  5. Step 5: Solve for x
    x = 187,758,740.90/21,424.50
  6. Step 6: Final answer
    x = 8,763.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.