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Finding the Fourth Proportional to 20,540.60, 30,815.53 and 6,501.47

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Solution

The fourth proportional to 20,540.60, 30,815.53 and 6,501.47 is: 9,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.60 : 30,815.53 = 6,501.47 : x
  2. Step 2: Convert to fraction form
    20,540.60/30,815.53 = 6,501.47/x
  3. Step 3: Cross multiply
    20,540.60x = 30,815.53 × 6,501.47
  4. Step 4: Simplify right side
    20,540.60x = 200,346,089.75
  5. Step 5: Solve for x
    x = 200,346,089.75/20,540.60
  6. Step 6: Final answer
    x = 9,753.66

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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.