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Finding the Fourth Proportional to 16,207.34, 24,311.00 and 5,115.14

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Solution

The fourth proportional to 16,207.34, 24,311.00 and 5,115.14 is: 7,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.34 : 24,311.00 = 5,115.14 : x
  2. Step 2: Convert to fraction form
    16,207.34/24,311.00 = 5,115.14/x
  3. Step 3: Cross multiply
    16,207.34x = 24,311.00 × 5,115.14
  4. Step 4: Simplify right side
    16,207.34x = 124,354,021.41
  5. Step 5: Solve for x
    x = 124,354,021.41/16,207.34
  6. Step 6: Final answer
    x = 7,672.70

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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.