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Finding the Fourth Proportional to 18,642.47, 25,726.62 and 10,258.97

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Solution

The fourth proportional to 18,642.47, 25,726.62 and 10,258.97 is: 14,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.47 : 25,726.62 = 10,258.97 : x
  2. Step 2: Convert to fraction form
    18,642.47/25,726.62 = 10,258.97/x
  3. Step 3: Cross multiply
    18,642.47x = 25,726.62 × 10,258.97
  4. Step 4: Simplify right side
    18,642.47x = 263,928,494.15
  5. Step 5: Solve for x
    x = 263,928,494.15/18,642.47
  6. Step 6: Final answer
    x = 14,157.38

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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.