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Finding the Fourth Proportional to 20,887.68, 28,825.04 and 11,456.32

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Solution

The fourth proportional to 20,887.68, 28,825.04 and 11,456.32 is: 15,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887.68 : 28,825.04 = 11,456.32 : x
  2. Step 2: Convert to fraction form
    20,887.68/28,825.04 = 11,456.32/x
  3. Step 3: Cross multiply
    20,887.68x = 28,825.04 × 11,456.32
  4. Step 4: Simplify right side
    20,887.68x = 330,228,882.25
  5. Step 5: Solve for x
    x = 330,228,882.25/20,887.68
  6. Step 6: Final answer
    x = 15,809.74

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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.