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Finding the Fourth Proportional to 23,464.69, 32,381.57 and 12,854.09

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Solution

The fourth proportional to 23,464.69, 32,381.57 and 12,854.09 is: 17,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.69 : 32,381.57 = 12,854.09 : x
  2. Step 2: Convert to fraction form
    23,464.69/32,381.57 = 12,854.09/x
  3. Step 3: Cross multiply
    23,464.69x = 32,381.57 × 12,854.09
  4. Step 4: Simplify right side
    23,464.69x = 416,235,728.21
  5. Step 5: Solve for x
    x = 416,235,728.21/23,464.69
  6. Step 6: Final answer
    x = 17,738.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.