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Finding the Fourth Proportional to 17,735.86, 24,475.66 and 9,778.40

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Solution

The fourth proportional to 17,735.86, 24,475.66 and 9,778.40 is: 13,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.86 : 24,475.66 = 9,778.40 : x
  2. Step 2: Convert to fraction form
    17,735.86/24,475.66 = 9,778.40/x
  3. Step 3: Cross multiply
    17,735.86x = 24,475.66 × 9,778.40
  4. Step 4: Simplify right side
    17,735.86x = 239,332,793.74
  5. Step 5: Solve for x
    x = 239,332,793.74/17,735.86
  6. Step 6: Final answer
    x = 13,494.29

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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.