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Finding the Fourth Proportional to 17,712.76, 24,443.31 and 9,755.72

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Solution

The fourth proportional to 17,712.76, 24,443.31 and 9,755.72 is: 13,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.76 : 24,443.31 = 9,755.72 : x
  2. Step 2: Convert to fraction form
    17,712.76/24,443.31 = 9,755.72/x
  3. Step 3: Cross multiply
    17,712.76x = 24,443.31 × 9,755.72
  4. Step 4: Simplify right side
    17,712.76x = 238,462,149.34
  5. Step 5: Solve for x
    x = 238,462,149.34/17,712.76
  6. Step 6: Final answer
    x = 13,462.73

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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.