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Finding the Fourth Proportional to 17,617.18, 24,311.64 and 9,550.86

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Solution

The fourth proportional to 17,617.18, 24,311.64 and 9,550.86 is: 13,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.18 : 24,311.64 = 9,550.86 : x
  2. Step 2: Convert to fraction form
    17,617.18/24,311.64 = 9,550.86/x
  3. Step 3: Cross multiply
    17,617.18x = 24,311.64 × 9,550.86
  4. Step 4: Simplify right side
    17,617.18x = 232,197,070.01
  5. Step 5: Solve for x
    x = 232,197,070.01/17,617.18
  6. Step 6: Final answer
    x = 13,180.15

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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.