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Finding the Fourth Proportional to 16,170.78, 24,262.08 and 6,813.15

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Solution

The fourth proportional to 16,170.78, 24,262.08 and 6,813.15 is: 10,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.78 : 24,262.08 = 6,813.15 : x
  2. Step 2: Convert to fraction form
    16,170.78/24,262.08 = 6,813.15/x
  3. Step 3: Cross multiply
    16,170.78x = 24,262.08 × 6,813.15
  4. Step 4: Simplify right side
    16,170.78x = 165,301,190.35
  5. Step 5: Solve for x
    x = 165,301,190.35/16,170.78
  6. Step 6: Final answer
    x = 10,222.22

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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.