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Finding the Fourth Proportional to 10,223.52, 15,320.90 and 8,134.22

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Solution

The fourth proportional to 10,223.52, 15,320.90 and 8,134.22 is: 12,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.52 : 15,320.90 = 8,134.22 : x
  2. Step 2: Convert to fraction form
    10,223.52/15,320.90 = 8,134.22/x
  3. Step 3: Cross multiply
    10,223.52x = 15,320.90 × 8,134.22
  4. Step 4: Simplify right side
    10,223.52x = 124,623,584.08
  5. Step 5: Solve for x
    x = 124,623,584.08/10,223.52
  6. Step 6: Final answer
    x = 12,189.89

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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.