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Finding the Fourth Proportional to 20,891.12, 28,830 and 11,459.52

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Solution

The fourth proportional to 20,891.12, 28,830 and 11,459.52 is: 15,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.12 : 28,830 = 11,459.52 : x
  2. Step 2: Convert to fraction form
    20,891.12/28,830 = 11,459.52/x
  3. Step 3: Cross multiply
    20,891.12x = 28,830 × 11,459.52
  4. Step 4: Simplify right side
    20,891.12x = 330,377,961.60
  5. Step 5: Solve for x
    x = 330,377,961.60/20,891.12
  6. Step 6: Final answer
    x = 15,814.28

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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.