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Finding the Fourth Proportional to 20,452.91, 28,225.13 and 11,500.16

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Solution

The fourth proportional to 20,452.91, 28,225.13 and 11,500.16 is: 15,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.91 : 28,225.13 = 11,500.16 : x
  2. Step 2: Convert to fraction form
    20,452.91/28,225.13 = 11,500.16/x
  3. Step 3: Cross multiply
    20,452.91x = 28,225.13 × 11,500.16
  4. Step 4: Simplify right side
    20,452.91x = 324,593,312.39
  5. Step 5: Solve for x
    x = 324,593,312.39/20,452.91
  6. Step 6: Final answer
    x = 15,870.28

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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.