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Finding the Fourth Proportional to 25,434.78, 35,102.08 and 14,107.84

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Solution

The fourth proportional to 25,434.78, 35,102.08 and 14,107.84 is: 19,469.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434.78 : 35,102.08 = 14,107.84 : x
  2. Step 2: Convert to fraction form
    25,434.78/35,102.08 = 14,107.84/x
  3. Step 3: Cross multiply
    25,434.78x = 35,102.08 × 14,107.84
  4. Step 4: Simplify right side
    25,434.78x = 495,214,528.31
  5. Step 5: Solve for x
    x = 495,214,528.31/25,434.78
  6. Step 6: Final answer
    x = 19,469.97

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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.