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Finding the Fourth Proportional to 17,712.56, 24,443.26 and 9,754.78

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Solution

The fourth proportional to 17,712.56, 24,443.26 and 9,754.78 is: 13,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.56 : 24,443.26 = 9,754.78 : x
  2. Step 2: Convert to fraction form
    17,712.56/24,443.26 = 9,754.78/x
  3. Step 3: Cross multiply
    17,712.56x = 24,443.26 × 9,754.78
  4. Step 4: Simplify right side
    17,712.56x = 238,438,623.78
  5. Step 5: Solve for x
    x = 238,438,623.78/17,712.56
  6. Step 6: Final answer
    x = 13,461.56

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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.