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Finding the Fourth Proportional to 18,642.96, 25,726.92 and 10,259.28

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Solution

The fourth proportional to 18,642.96, 25,726.92 and 10,259.28 is: 14,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.96 : 25,726.92 = 10,259.28 : x
  2. Step 2: Convert to fraction form
    18,642.96/25,726.92 = 10,259.28/x
  3. Step 3: Cross multiply
    18,642.96x = 25,726.92 × 10,259.28
  4. Step 4: Simplify right side
    18,642.96x = 263,939,675.82
  5. Step 5: Solve for x
    x = 263,939,675.82/18,642.96
  6. Step 6: Final answer
    x = 14,157.61

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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.