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Finding the Fourth Proportional to 20,232.80, 27,920.24 and 11,281.28

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Solution

The fourth proportional to 20,232.80, 27,920.24 and 11,281.28 is: 15,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.80 : 27,920.24 = 11,281.28 : x
  2. Step 2: Convert to fraction form
    20,232.80/27,920.24 = 11,281.28/x
  3. Step 3: Cross multiply
    20,232.80x = 27,920.24 × 11,281.28
  4. Step 4: Simplify right side
    20,232.80x = 314,976,045.11
  5. Step 5: Solve for x
    x = 314,976,045.11/20,232.80
  6. Step 6: Final answer
    x = 15,567.60

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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.