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Finding the Fourth Proportional to 22,761, 31,414.50 and 12,825

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Solution

The fourth proportional to 22,761, 31,414.50 and 12,825 is: 17,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761 : 31,414.50 = 12,825 : x
  2. Step 2: Convert to fraction form
    22,761/31,414.50 = 12,825/x
  3. Step 3: Cross multiply
    22,761x = 31,414.50 × 12,825
  4. Step 4: Simplify right side
    22,761x = 402,890,962.50
  5. Step 5: Solve for x
    x = 402,890,962.50/22,761
  6. Step 6: Final answer
    x = 17,700.93

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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.