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Finding the Fourth Proportional to 17,735.78, 24,475.54 and 9,778.29

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Solution

The fourth proportional to 17,735.78, 24,475.54 and 9,778.29 is: 13,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.78 : 24,475.54 = 9,778.29 : x
  2. Step 2: Convert to fraction form
    17,735.78/24,475.54 = 9,778.29/x
  3. Step 3: Cross multiply
    17,735.78x = 24,475.54 × 9,778.29
  4. Step 4: Simplify right side
    17,735.78x = 239,328,909.26
  5. Step 5: Solve for x
    x = 239,328,909.26/17,735.78
  6. Step 6: Final answer
    x = 13,494.13

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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.