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Finding the Fourth Proportional to 20,001.76, 30,015.90 and 8,314.96

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Solution

The fourth proportional to 20,001.76, 30,015.90 and 8,314.96 is: 12,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001.76 : 30,015.90 = 8,314.96 : x
  2. Step 2: Convert to fraction form
    20,001.76/30,015.90 = 8,314.96/x
  3. Step 3: Cross multiply
    20,001.76x = 30,015.90 × 8,314.96
  4. Step 4: Simplify right side
    20,001.76x = 249,581,007.86
  5. Step 5: Solve for x
    x = 249,581,007.86/20,001.76
  6. Step 6: Final answer
    x = 12,477.95

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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.