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Finding the Fourth Proportional to 22,459.25, 31,005.92 and 13,508.75

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Solution

The fourth proportional to 22,459.25, 31,005.92 and 13,508.75 is: 18,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.25 : 31,005.92 = 13,508.75 : x
  2. Step 2: Convert to fraction form
    22,459.25/31,005.92 = 13,508.75/x
  3. Step 3: Cross multiply
    22,459.25x = 31,005.92 × 13,508.75
  4. Step 4: Simplify right side
    22,459.25x = 418,851,154.26
  5. Step 5: Solve for x
    x = 418,851,154.26/22,459.25
  6. Step 6: Final answer
    x = 18,649.38

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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.