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Finding the Fourth Proportional to 17,705.34, 24,432.84 and 9,747.54

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Solution

The fourth proportional to 17,705.34, 24,432.84 and 9,747.54 is: 13,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.34 : 24,432.84 = 9,747.54 : x
  2. Step 2: Convert to fraction form
    17,705.34/24,432.84 = 9,747.54/x
  3. Step 3: Cross multiply
    17,705.34x = 24,432.84 × 9,747.54
  4. Step 4: Simplify right side
    17,705.34x = 238,160,085.21
  5. Step 5: Solve for x
    x = 238,160,085.21/17,705.34
  6. Step 6: Final answer
    x = 13,451.31

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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.