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Finding the Fourth Proportional to 20,143.68, 30,214.17 and 6,104.10

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Solution

The fourth proportional to 20,143.68, 30,214.17 and 6,104.10 is: 9,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.68 : 30,214.17 = 6,104.10 : x
  2. Step 2: Convert to fraction form
    20,143.68/30,214.17 = 6,104.10/x
  3. Step 3: Cross multiply
    20,143.68x = 30,214.17 × 6,104.10
  4. Step 4: Simplify right side
    20,143.68x = 184,430,315.10
  5. Step 5: Solve for x
    x = 184,430,315.10/20,143.68
  6. Step 6: Final answer
    x = 9,155.74

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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.