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Finding the Fourth Proportional to 22,514, 31,071.24 and 12,579.92

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Solution

The fourth proportional to 22,514, 31,071.24 and 12,579.92 is: 17,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514 : 31,071.24 = 12,579.92 : x
  2. Step 2: Convert to fraction form
    22,514/31,071.24 = 12,579.92/x
  3. Step 3: Cross multiply
    22,514x = 31,071.24 × 12,579.92
  4. Step 4: Simplify right side
    22,514x = 390,873,713.50
  5. Step 5: Solve for x
    x = 390,873,713.50/22,514
  6. Step 6: Final answer
    x = 17,361.36

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