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Finding the Fourth Proportional to 18,642.16, 25,726.44 and 10,258.84

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Solution

The fourth proportional to 18,642.16, 25,726.44 and 10,258.84 is: 14,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.16 : 25,726.44 = 10,258.84 : x
  2. Step 2: Convert to fraction form
    18,642.16/25,726.44 = 10,258.84/x
  3. Step 3: Cross multiply
    18,642.16x = 25,726.44 × 10,258.84
  4. Step 4: Simplify right side
    18,642.16x = 263,923,431.73
  5. Step 5: Solve for x
    x = 263,923,431.73/18,642.16
  6. Step 6: Final answer
    x = 14,157.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.