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Finding the Fourth Proportional to 23,322.38, 32,184.95 and 12,711.78

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Solution

The fourth proportional to 23,322.38, 32,184.95 and 12,711.78 is: 17,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.38 : 32,184.95 = 12,711.78 : x
  2. Step 2: Convert to fraction form
    23,322.38/32,184.95 = 12,711.78/x
  3. Step 3: Cross multiply
    23,322.38x = 32,184.95 × 12,711.78
  4. Step 4: Simplify right side
    23,322.38x = 409,127,940.15
  5. Step 5: Solve for x
    x = 409,127,940.15/23,322.38
  6. Step 6: Final answer
    x = 17,542.29

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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.