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Finding the Fourth Proportional to 15,928.34, 23,882.01 and 8,909.09

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Solution

The fourth proportional to 15,928.34, 23,882.01 and 8,909.09 is: 13,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928.34 : 23,882.01 = 8,909.09 : x
  2. Step 2: Convert to fraction form
    15,928.34/23,882.01 = 8,909.09/x
  3. Step 3: Cross multiply
    15,928.34x = 23,882.01 × 8,909.09
  4. Step 4: Simplify right side
    15,928.34x = 212,766,857.06
  5. Step 5: Solve for x
    x = 212,766,857.06/15,928.34
  6. Step 6: Final answer
    x = 13,357.76

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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.