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Finding the Fourth Proportional to 22,649.52, 31,257.30 and 12,441

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Solution

The fourth proportional to 22,649.52, 31,257.30 and 12,441 is: 17,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.52 : 31,257.30 = 12,441 : x
  2. Step 2: Convert to fraction form
    22,649.52/31,257.30 = 12,441/x
  3. Step 3: Cross multiply
    22,649.52x = 31,257.30 × 12,441
  4. Step 4: Simplify right side
    22,649.52x = 388,872,069.30
  5. Step 5: Solve for x
    x = 388,872,069.30/22,649.52
  6. Step 6: Final answer
    x = 17,169.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.