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Finding the Fourth Proportional to 25,438.71, 35,107.19 and 14,109.24

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Solution

The fourth proportional to 25,438.71, 35,107.19 and 14,109.24 is: 19,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.71 : 35,107.19 = 14,109.24 : x
  2. Step 2: Convert to fraction form
    25,438.71/35,107.19 = 14,109.24/x
  3. Step 3: Cross multiply
    25,438.71x = 35,107.19 × 14,109.24
  4. Step 4: Simplify right side
    25,438.71x = 495,335,769.44
  5. Step 5: Solve for x
    x = 495,335,769.44/25,438.71
  6. Step 6: Final answer
    x = 19,471.73

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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.