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Finding the Fourth Proportional to 20,141.68, 30,211.17 and 6,102.10

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Solution

The fourth proportional to 20,141.68, 30,211.17 and 6,102.10 is: 9,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.68 : 30,211.17 = 6,102.10 : x
  2. Step 2: Convert to fraction form
    20,141.68/30,211.17 = 6,102.10/x
  3. Step 3: Cross multiply
    20,141.68x = 30,211.17 × 6,102.10
  4. Step 4: Simplify right side
    20,141.68x = 184,351,580.46
  5. Step 5: Solve for x
    x = 184,351,580.46/20,141.68
  6. Step 6: Final answer
    x = 9,152.74

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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.