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Finding the Fourth Proportional to 17,735.97, 24,475.18 and 9,778.06

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Solution

The fourth proportional to 17,735.97, 24,475.18 and 9,778.06 is: 13,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.97 : 24,475.18 = 9,778.06 : x
  2. Step 2: Convert to fraction form
    17,735.97/24,475.18 = 9,778.06/x
  3. Step 3: Cross multiply
    17,735.97x = 24,475.18 × 9,778.06
  4. Step 4: Simplify right side
    17,735.97x = 239,319,607.28
  5. Step 5: Solve for x
    x = 239,319,607.28/17,735.97
  6. Step 6: Final answer
    x = 13,493.46

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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.