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Finding the Fourth Proportional to 22,884.75, 31,581.44 and 12,948.75

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Solution

The fourth proportional to 22,884.75, 31,581.44 and 12,948.75 is: 17,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.75 : 31,581.44 = 12,948.75 : x
  2. Step 2: Convert to fraction form
    22,884.75/31,581.44 = 12,948.75/x
  3. Step 3: Cross multiply
    22,884.75x = 31,581.44 × 12,948.75
  4. Step 4: Simplify right side
    22,884.75x = 408,940,106.46
  5. Step 5: Solve for x
    x = 408,940,106.46/22,884.75
  6. Step 6: Final answer
    x = 17,869.55

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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.