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Finding the Fourth Proportional to 21,874.74, 32,812.38 and 6,292.50

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Solution

The fourth proportional to 21,874.74, 32,812.38 and 6,292.50 is: 9,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.74 : 32,812.38 = 6,292.50 : x
  2. Step 2: Convert to fraction form
    21,874.74/32,812.38 = 6,292.50/x
  3. Step 3: Cross multiply
    21,874.74x = 32,812.38 × 6,292.50
  4. Step 4: Simplify right side
    21,874.74x = 206,471,901.15
  5. Step 5: Solve for x
    x = 206,471,901.15/21,874.74
  6. Step 6: Final answer
    x = 9,438.83

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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.