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Finding the Fourth Proportional to 16,178.67, 24,277.43 and 6,818.10

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Solution

The fourth proportional to 16,178.67, 24,277.43 and 6,818.10 is: 10,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.67 : 24,277.43 = 6,818.10 : x
  2. Step 2: Convert to fraction form
    16,178.67/24,277.43 = 6,818.10/x
  3. Step 3: Cross multiply
    16,178.67x = 24,277.43 × 6,818.10
  4. Step 4: Simplify right side
    16,178.67x = 165,525,945.48
  5. Step 5: Solve for x
    x = 165,525,945.48/16,178.67
  6. Step 6: Final answer
    x = 10,231.13

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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.