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Finding the Fourth Proportional to 25,840.52, 35,660.30 and 14,512.47

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Solution

The fourth proportional to 25,840.52, 35,660.30 and 14,512.47 is: 20,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.52 : 35,660.30 = 14,512.47 : x
  2. Step 2: Convert to fraction form
    25,840.52/35,660.30 = 14,512.47/x
  3. Step 3: Cross multiply
    25,840.52x = 35,660.30 × 14,512.47
  4. Step 4: Simplify right side
    25,840.52x = 517,518,961.38
  5. Step 5: Solve for x
    x = 517,518,961.38/25,840.52
  6. Step 6: Final answer
    x = 20,027.42

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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.