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Finding the Fourth Proportional to 16,314.78, 22,514.92 and 9,241.04

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Solution

The fourth proportional to 16,314.78, 22,514.92 and 9,241.04 is: 12,752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.78 : 22,514.92 = 9,241.04 : x
  2. Step 2: Convert to fraction form
    16,314.78/22,514.92 = 9,241.04/x
  3. Step 3: Cross multiply
    16,314.78x = 22,514.92 × 9,241.04
  4. Step 4: Simplify right side
    16,314.78x = 208,061,276.32
  5. Step 5: Solve for x
    x = 208,061,276.32/16,314.78
  6. Step 6: Final answer
    x = 12,752.93

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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.