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Finding the Fourth Proportional to 20,298.60, 30,414.96 and 10,424.16

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Solution

The fourth proportional to 20,298.60, 30,414.96 and 10,424.16 is: 15,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.60 : 30,414.96 = 10,424.16 : x
  2. Step 2: Convert to fraction form
    20,298.60/30,414.96 = 10,424.16/x
  3. Step 3: Cross multiply
    20,298.60x = 30,414.96 × 10,424.16
  4. Step 4: Simplify right side
    20,298.60x = 317,050,409.43
  5. Step 5: Solve for x
    x = 317,050,409.43/20,298.60
  6. Step 6: Final answer
    x = 15,619.32

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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.