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Finding the Fourth Proportional to 17,713.20, 24,444.90 and 9,755.28

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Solution

The fourth proportional to 17,713.20, 24,444.90 and 9,755.28 is: 13,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.20 : 24,444.90 = 9,755.28 : x
  2. Step 2: Convert to fraction form
    17,713.20/24,444.90 = 9,755.28/x
  3. Step 3: Cross multiply
    17,713.20x = 24,444.90 × 9,755.28
  4. Step 4: Simplify right side
    17,713.20x = 238,466,844.07
  5. Step 5: Solve for x
    x = 238,466,844.07/17,713.20
  6. Step 6: Final answer
    x = 13,462.66

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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.