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Finding the Fourth Proportional to 18,078.95, 24,947.10 and 10,423.08

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Solution

The fourth proportional to 18,078.95, 24,947.10 and 10,423.08 is: 14,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.95 : 24,947.10 = 10,423.08 : x
  2. Step 2: Convert to fraction form
    18,078.95/24,947.10 = 10,423.08/x
  3. Step 3: Cross multiply
    18,078.95x = 24,947.10 × 10,423.08
  4. Step 4: Simplify right side
    18,078.95x = 260,025,633.73
  5. Step 5: Solve for x
    x = 260,025,633.73/18,078.95
  6. Step 6: Final answer
    x = 14,382.79

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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.