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Finding the Fourth Proportional to 17,778.50, 24,534.41 and 9,712.26

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Solution

The fourth proportional to 17,778.50, 24,534.41 and 9,712.26 is: 13,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.50 : 24,534.41 = 9,712.26 : x
  2. Step 2: Convert to fraction form
    17,778.50/24,534.41 = 9,712.26/x
  3. Step 3: Cross multiply
    17,778.50x = 24,534.41 × 9,712.26
  4. Step 4: Simplify right side
    17,778.50x = 238,284,520.31
  5. Step 5: Solve for x
    x = 238,284,520.31/17,778.50
  6. Step 6: Final answer
    x = 13,402.96

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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.