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Finding the Fourth Proportional to 20,298.87, 30,448.31 and 7,148.16

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Solution

The fourth proportional to 20,298.87, 30,448.31 and 7,148.16 is: 10,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.87 : 30,448.31 = 7,148.16 : x
  2. Step 2: Convert to fraction form
    20,298.87/30,448.31 = 7,148.16/x
  3. Step 3: Cross multiply
    20,298.87x = 30,448.31 × 7,148.16
  4. Step 4: Simplify right side
    20,298.87x = 217,649,355.87
  5. Step 5: Solve for x
    x = 217,649,355.87/20,298.87
  6. Step 6: Final answer
    x = 10,722.24

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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.