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Finding the Fourth Proportional to 17,489.84, 24,136.49 and 9,532.58

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Solution

The fourth proportional to 17,489.84, 24,136.49 and 9,532.58 is: 13,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489.84 : 24,136.49 = 9,532.58 : x
  2. Step 2: Convert to fraction form
    17,489.84/24,136.49 = 9,532.58/x
  3. Step 3: Cross multiply
    17,489.84x = 24,136.49 × 9,532.58
  4. Step 4: Simplify right side
    17,489.84x = 230,082,853.50
  5. Step 5: Solve for x
    x = 230,082,853.50/17,489.84
  6. Step 6: Final answer
    x = 13,155.23

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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.