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Finding the Fourth Proportional to 17,706.48, 24,434.82 and 9,748.50

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Solution

The fourth proportional to 17,706.48, 24,434.82 and 9,748.50 is: 13,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.48 : 24,434.82 = 9,748.50 : x
  2. Step 2: Convert to fraction form
    17,706.48/24,434.82 = 9,748.50/x
  3. Step 3: Cross multiply
    17,706.48x = 24,434.82 × 9,748.50
  4. Step 4: Simplify right side
    17,706.48x = 238,202,842.77
  5. Step 5: Solve for x
    x = 238,202,842.77/17,706.48
  6. Step 6: Final answer
    x = 13,452.86

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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.