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Finding the Fourth Proportional to 20,228.16, 30,335.68 and 7,747.52

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Solution

The fourth proportional to 20,228.16, 30,335.68 and 7,747.52 is: 11,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228.16 : 30,335.68 = 7,747.52 : x
  2. Step 2: Convert to fraction form
    20,228.16/30,335.68 = 7,747.52/x
  3. Step 3: Cross multiply
    20,228.16x = 30,335.68 × 7,747.52
  4. Step 4: Simplify right side
    20,228.16x = 235,026,287.51
  5. Step 5: Solve for x
    x = 235,026,287.51/20,228.16
  6. Step 6: Final answer
    x = 11,618.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.