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Finding the Fourth Proportional to 21,685.92, 32,435.10 and 12,780.12

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Solution

The fourth proportional to 21,685.92, 32,435.10 and 12,780.12 is: 19,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.92 : 32,435.10 = 12,780.12 : x
  2. Step 2: Convert to fraction form
    21,685.92/32,435.10 = 12,780.12/x
  3. Step 3: Cross multiply
    21,685.92x = 32,435.10 × 12,780.12
  4. Step 4: Simplify right side
    21,685.92x = 414,524,470.21
  5. Step 5: Solve for x
    x = 414,524,470.21/21,685.92
  6. Step 6: Final answer
    x = 19,114.91

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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.