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Finding the Fourth Proportional to 18,214.97, 25,139.05 and 10,258.75

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Solution

The fourth proportional to 18,214.97, 25,139.05 and 10,258.75 is: 14,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.97 : 25,139.05 = 10,258.75 : x
  2. Step 2: Convert to fraction form
    18,214.97/25,139.05 = 10,258.75/x
  3. Step 3: Cross multiply
    18,214.97x = 25,139.05 × 10,258.75
  4. Step 4: Simplify right side
    18,214.97x = 257,895,229.19
  5. Step 5: Solve for x
    x = 257,895,229.19/18,214.97
  6. Step 6: Final answer
    x = 14,158.42

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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.