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Finding the Fourth Proportional to 16,187.85, 24,266.19 and 8,294.09

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Solution

The fourth proportional to 16,187.85, 24,266.19 and 8,294.09 is: 12,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.85 : 24,266.19 = 8,294.09 : x
  2. Step 2: Convert to fraction form
    16,187.85/24,266.19 = 8,294.09/x
  3. Step 3: Cross multiply
    16,187.85x = 24,266.19 × 8,294.09
  4. Step 4: Simplify right side
    16,187.85x = 201,265,963.82
  5. Step 5: Solve for x
    x = 201,265,963.82/16,187.85
  6. Step 6: Final answer
    x = 12,433.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.