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Finding the Fourth Proportional to 17,705.22, 24,433.89 and 9,748.17

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Solution

The fourth proportional to 17,705.22, 24,433.89 and 9,748.17 is: 13,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.22 : 24,433.89 = 9,748.17 : x
  2. Step 2: Convert to fraction form
    17,705.22/24,433.89 = 9,748.17/x
  3. Step 3: Cross multiply
    17,705.22x = 24,433.89 × 9,748.17
  4. Step 4: Simplify right side
    17,705.22x = 238,185,713.48
  5. Step 5: Solve for x
    x = 238,185,713.48/17,705.22
  6. Step 6: Final answer
    x = 13,452.85

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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.