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Finding the Fourth Proportional to 21,587.70, 32,386.17 and 12,232.14

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Solution

The fourth proportional to 21,587.70, 32,386.17 and 12,232.14 is: 18,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,587.70 : 32,386.17 = 12,232.14 : x
  2. Step 2: Convert to fraction form
    21,587.70/32,386.17 = 12,232.14/x
  3. Step 3: Cross multiply
    21,587.70x = 32,386.17 × 12,232.14
  4. Step 4: Simplify right side
    21,587.70x = 396,152,165.50
  5. Step 5: Solve for x
    x = 396,152,165.50/21,587.70
  6. Step 6: Final answer
    x = 18,350.83

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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.