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Finding the Fourth Proportional to 18,540, 25,585.06 and 10,041.93

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Solution

The fourth proportional to 18,540, 25,585.06 and 10,041.93 is: 13,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540 : 25,585.06 = 10,041.93 : x
  2. Step 2: Convert to fraction form
    18,540/25,585.06 = 10,041.93/x
  3. Step 3: Cross multiply
    18,540x = 25,585.06 × 10,041.93
  4. Step 4: Simplify right side
    18,540x = 256,923,381.57
  5. Step 5: Solve for x
    x = 256,923,381.57/18,540
  6. Step 6: Final answer
    x = 13,857.79

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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.