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Finding the Fourth Proportional to 17,712.75, 24,443.60 and 9,754.91

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Solution

The fourth proportional to 17,712.75, 24,443.60 and 9,754.91 is: 13,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.75 : 24,443.60 = 9,754.91 : x
  2. Step 2: Convert to fraction form
    17,712.75/24,443.60 = 9,754.91/x
  3. Step 3: Cross multiply
    17,712.75x = 24,443.60 × 9,754.91
  4. Step 4: Simplify right side
    17,712.75x = 238,445,118.08
  5. Step 5: Solve for x
    x = 238,445,118.08/17,712.75
  6. Step 6: Final answer
    x = 13,461.78

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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.