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Finding the Fourth Proportional to 16,266, 24,391.32 and 5,877.52

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Solution

The fourth proportional to 16,266, 24,391.32 and 5,877.52 is: 8,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266 : 24,391.32 = 5,877.52 : x
  2. Step 2: Convert to fraction form
    16,266/24,391.32 = 5,877.52/x
  3. Step 3: Cross multiply
    16,266x = 24,391.32 × 5,877.52
  4. Step 4: Simplify right side
    16,266x = 143,360,471.13
  5. Step 5: Solve for x
    x = 143,360,471.13/16,266
  6. Step 6: Final answer
    x = 8,813.50

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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.