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Finding the Fourth Proportional to 18,176.40, 25,069.32 and 11,877.84

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Solution

The fourth proportional to 18,176.40, 25,069.32 and 11,877.84 is: 16,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176.40 : 25,069.32 = 11,877.84 : x
  2. Step 2: Convert to fraction form
    18,176.40/25,069.32 = 11,877.84/x
  3. Step 3: Cross multiply
    18,176.40x = 25,069.32 × 11,877.84
  4. Step 4: Simplify right side
    18,176.40x = 297,769,371.87
  5. Step 5: Solve for x
    x = 297,769,371.87/18,176.40
  6. Step 6: Final answer
    x = 16,382.20

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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.