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Finding the Fourth Proportional to 20,202.42, 30,298.92 and 7,717.86

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Solution

The fourth proportional to 20,202.42, 30,298.92 and 7,717.86 is: 11,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.42 : 30,298.92 = 7,717.86 : x
  2. Step 2: Convert to fraction form
    20,202.42/30,298.92 = 7,717.86/x
  3. Step 3: Cross multiply
    20,202.42x = 30,298.92 × 7,717.86
  4. Step 4: Simplify right side
    20,202.42x = 233,842,822.71
  5. Step 5: Solve for x
    x = 233,842,822.71/20,202.42
  6. Step 6: Final answer
    x = 11,574.99

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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.