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Finding the Fourth Proportional to 21,514.75, 29,691.87 and 12,083.32

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Solution

The fourth proportional to 21,514.75, 29,691.87 and 12,083.32 is: 16,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514.75 : 29,691.87 = 12,083.32 : x
  2. Step 2: Convert to fraction form
    21,514.75/29,691.87 = 12,083.32/x
  3. Step 3: Cross multiply
    21,514.75x = 29,691.87 × 12,083.32
  4. Step 4: Simplify right side
    21,514.75x = 358,776,366.61
  5. Step 5: Solve for x
    x = 358,776,366.61/21,514.75
  6. Step 6: Final answer
    x = 16,675.83

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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.