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Finding the Fourth Proportional to 20,301.84, 30,445.17 and 6,971.05

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Solution

The fourth proportional to 20,301.84, 30,445.17 and 6,971.05 is: 10,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,301.84 : 30,445.17 = 6,971.05 : x
  2. Step 2: Convert to fraction form
    20,301.84/30,445.17 = 6,971.05/x
  3. Step 3: Cross multiply
    20,301.84x = 30,445.17 × 6,971.05
  4. Step 4: Simplify right side
    20,301.84x = 212,234,650.10
  5. Step 5: Solve for x
    x = 212,234,650.10/20,301.84
  6. Step 6: Final answer
    x = 10,453.96

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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.