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Finding the Fourth Proportional to 22,767.35, 34,142.82 and 9,620.74

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Solution

The fourth proportional to 22,767.35, 34,142.82 and 9,620.74 is: 14,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767.35 : 34,142.82 = 9,620.74 : x
  2. Step 2: Convert to fraction form
    22,767.35/34,142.82 = 9,620.74/x
  3. Step 3: Cross multiply
    22,767.35x = 34,142.82 × 9,620.74
  4. Step 4: Simplify right side
    22,767.35x = 328,479,200.69
  5. Step 5: Solve for x
    x = 328,479,200.69/22,767.35
  6. Step 6: Final answer
    x = 14,427.65

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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.