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Finding the Fourth Proportional to 22,752.50, 31,397.45 and 12,682.04

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Solution

The fourth proportional to 22,752.50, 31,397.45 and 12,682.04 is: 17,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.50 : 31,397.45 = 12,682.04 : x
  2. Step 2: Convert to fraction form
    22,752.50/31,397.45 = 12,682.04/x
  3. Step 3: Cross multiply
    22,752.50x = 31,397.45 × 12,682.04
  4. Step 4: Simplify right side
    22,752.50x = 398,183,496.40
  5. Step 5: Solve for x
    x = 398,183,496.40/22,752.50
  6. Step 6: Final answer
    x = 17,500.65

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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.