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Finding the Fourth Proportional to 18,574, 25,632.16 and 10,190.48

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Solution

The fourth proportional to 18,574, 25,632.16 and 10,190.48 is: 14,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,574 : 25,632.16 = 10,190.48 : x
  2. Step 2: Convert to fraction form
    18,574/25,632.16 = 10,190.48/x
  3. Step 3: Cross multiply
    18,574x = 25,632.16 × 10,190.48
  4. Step 4: Simplify right side
    18,574x = 261,204,013.84
  5. Step 5: Solve for x
    x = 261,204,013.84/18,574
  6. Step 6: Final answer
    x = 14,062.88

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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.