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Finding the Fourth Proportional to 15,677.72, 23,514.42 and 9,107

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Solution

The fourth proportional to 15,677.72, 23,514.42 and 9,107 is: 13,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.72 : 23,514.42 = 9,107 : x
  2. Step 2: Convert to fraction form
    15,677.72/23,514.42 = 9,107/x
  3. Step 3: Cross multiply
    15,677.72x = 23,514.42 × 9,107
  4. Step 4: Simplify right side
    15,677.72x = 214,145,822.94
  5. Step 5: Solve for x
    x = 214,145,822.94/15,677.72
  6. Step 6: Final answer
    x = 13,659.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.