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Finding the Fourth Proportional to 23,625.96, 32,617.40 and 15,678.96

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Solution

The fourth proportional to 23,625.96, 32,617.40 and 15,678.96 is: 21,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625.96 : 32,617.40 = 15,678.96 : x
  2. Step 2: Convert to fraction form
    23,625.96/32,617.40 = 15,678.96/x
  3. Step 3: Cross multiply
    23,625.96x = 32,617.40 × 15,678.96
  4. Step 4: Simplify right side
    23,625.96x = 511,406,909.90
  5. Step 5: Solve for x
    x = 511,406,909.90/23,625.96
  6. Step 6: Final answer
    x = 21,645.97

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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.