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Finding the Fourth Proportional to 17,678.18, 24,395.94 and 9,720.90

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Solution

The fourth proportional to 17,678.18, 24,395.94 and 9,720.90 is: 13,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.18 : 24,395.94 = 9,720.90 : x
  2. Step 2: Convert to fraction form
    17,678.18/24,395.94 = 9,720.90/x
  3. Step 3: Cross multiply
    17,678.18x = 24,395.94 × 9,720.90
  4. Step 4: Simplify right side
    17,678.18x = 237,150,493.15
  5. Step 5: Solve for x
    x = 237,150,493.15/17,678.18
  6. Step 6: Final answer
    x = 13,414.87

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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.