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Finding the Fourth Proportional to 22,539.68, 31,104.56 and 12,468

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Solution

The fourth proportional to 22,539.68, 31,104.56 and 12,468 is: 17,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.68 : 31,104.56 = 12,468 : x
  2. Step 2: Convert to fraction form
    22,539.68/31,104.56 = 12,468/x
  3. Step 3: Cross multiply
    22,539.68x = 31,104.56 × 12,468
  4. Step 4: Simplify right side
    22,539.68x = 387,811,685.25
  5. Step 5: Solve for x
    x = 387,811,685.25/22,539.68
  6. Step 6: Final answer
    x = 17,205.74

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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.