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Finding the Fourth Proportional to 24,649.67, 34,016.54 and 13,319.17

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Solution

The fourth proportional to 24,649.67, 34,016.54 and 13,319.17 is: 18,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.67 : 34,016.54 = 13,319.17 : x
  2. Step 2: Convert to fraction form
    24,649.67/34,016.54 = 13,319.17/x
  3. Step 3: Cross multiply
    24,649.67x = 34,016.54 × 13,319.17
  4. Step 4: Simplify right side
    24,649.67x = 453,071,927.43
  5. Step 5: Solve for x
    x = 453,071,927.43/24,649.67
  6. Step 6: Final answer
    x = 18,380.44

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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.