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Finding the Fourth Proportional to 21,905.88, 32,882.21 and 9,432.08

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Solution

The fourth proportional to 21,905.88, 32,882.21 and 9,432.08 is: 14,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.88 : 32,882.21 = 9,432.08 : x
  2. Step 2: Convert to fraction form
    21,905.88/32,882.21 = 9,432.08/x
  3. Step 3: Cross multiply
    21,905.88x = 32,882.21 × 9,432.08
  4. Step 4: Simplify right side
    21,905.88x = 310,147,635.30
  5. Step 5: Solve for x
    x = 310,147,635.30/21,905.88
  6. Step 6: Final answer
    x = 14,158.19

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1.5x scale

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.