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Finding the Fourth Proportional to 20,715.42, 31,068.78 and 6,676.71

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Solution

The fourth proportional to 20,715.42, 31,068.78 and 6,676.71 is: 10,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.42 : 31,068.78 = 6,676.71 : x
  2. Step 2: Convert to fraction form
    20,715.42/31,068.78 = 6,676.71/x
  3. Step 3: Cross multiply
    20,715.42x = 31,068.78 × 6,676.71
  4. Step 4: Simplify right side
    20,715.42x = 207,437,234.11
  5. Step 5: Solve for x
    x = 207,437,234.11/20,715.42
  6. Step 6: Final answer
    x = 10,013.66

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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.