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Finding the Fourth Proportional to 25,402.38, 35,057.46 and 14,793

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Solution

The fourth proportional to 25,402.38, 35,057.46 and 14,793 is: 20,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402.38 : 35,057.46 = 14,793 : x
  2. Step 2: Convert to fraction form
    25,402.38/35,057.46 = 14,793/x
  3. Step 3: Cross multiply
    25,402.38x = 35,057.46 × 14,793
  4. Step 4: Simplify right side
    25,402.38x = 518,605,005.78
  5. Step 5: Solve for x
    x = 518,605,005.78/25,402.38
  6. Step 6: Final answer
    x = 20,415.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.