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Finding the Fourth Proportional to 15,200.76, 20,984.69 and 9,543.72

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Solution

The fourth proportional to 15,200.76, 20,984.69 and 9,543.72 is: 13,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.76 : 20,984.69 = 9,543.72 : x
  2. Step 2: Convert to fraction form
    15,200.76/20,984.69 = 9,543.72/x
  3. Step 3: Cross multiply
    15,200.76x = 20,984.69 × 9,543.72
  4. Step 4: Simplify right side
    15,200.76x = 200,271,957.93
  5. Step 5: Solve for x
    x = 200,271,957.93/15,200.76
  6. Step 6: Final answer
    x = 13,175.13

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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.