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Finding the Fourth Proportional to 22,521.08, 31,078.11 and 12,449

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Solution

The fourth proportional to 22,521.08, 31,078.11 and 12,449 is: 17,179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.08 : 31,078.11 = 12,449 : x
  2. Step 2: Convert to fraction form
    22,521.08/31,078.11 = 12,449/x
  3. Step 3: Cross multiply
    22,521.08x = 31,078.11 × 12,449
  4. Step 4: Simplify right side
    22,521.08x = 386,891,391.39
  5. Step 5: Solve for x
    x = 386,891,391.39/22,521.08
  6. Step 6: Final answer
    x = 17,179.08

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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.