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Finding the Fourth Proportional to 22,711.65, 34,024.47 and 12,820.87

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Solution

The fourth proportional to 22,711.65, 34,024.47 and 12,820.87 is: 19,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.65 : 34,024.47 = 12,820.87 : x
  2. Step 2: Convert to fraction form
    22,711.65/34,024.47 = 12,820.87/x
  3. Step 3: Cross multiply
    22,711.65x = 34,024.47 × 12,820.87
  4. Step 4: Simplify right side
    22,711.65x = 436,223,306.69
  5. Step 5: Solve for x
    x = 436,223,306.69/22,711.65
  6. Step 6: Final answer
    x = 19,207.03

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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.