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Finding the Fourth Proportional to 15,200.13, 20,968.91 and 9,532.04

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Solution

The fourth proportional to 15,200.13, 20,968.91 and 9,532.04 is: 13,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.13 : 20,968.91 = 9,532.04 : x
  2. Step 2: Convert to fraction form
    15,200.13/20,968.91 = 9,532.04/x
  3. Step 3: Cross multiply
    15,200.13x = 20,968.91 × 9,532.04
  4. Step 4: Simplify right side
    15,200.13x = 199,876,336.37
  5. Step 5: Solve for x
    x = 199,876,336.37/15,200.13
  6. Step 6: Final answer
    x = 13,149.65

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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.