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Finding the Fourth Proportional to 23,465.76, 32,371.92 and 13,524

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Solution

The fourth proportional to 23,465.76, 32,371.92 and 13,524 is: 18,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.76 : 32,371.92 = 13,524 : x
  2. Step 2: Convert to fraction form
    23,465.76/32,371.92 = 13,524/x
  3. Step 3: Cross multiply
    23,465.76x = 32,371.92 × 13,524
  4. Step 4: Simplify right side
    23,465.76x = 437,797,846.08
  5. Step 5: Solve for x
    x = 437,797,846.08/23,465.76
  6. Step 6: Final answer
    x = 18,656.88

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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.