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Finding the Fourth Proportional to 20,765.52, 28,657.20 and 11,813.82

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Solution

The fourth proportional to 20,765.52, 28,657.20 and 11,813.82 is: 16,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.52 : 28,657.20 = 11,813.82 : x
  2. Step 2: Convert to fraction form
    20,765.52/28,657.20 = 11,813.82/x
  3. Step 3: Cross multiply
    20,765.52x = 28,657.20 × 11,813.82
  4. Step 4: Simplify right side
    20,765.52x = 338,551,002.50
  5. Step 5: Solve for x
    x = 338,551,002.50/20,765.52
  6. Step 6: Final answer
    x = 16,303.52

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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.