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Finding the Fourth Proportional to 18,642.59, 25,726.77 and 10,259.09

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Solution

The fourth proportional to 18,642.59, 25,726.77 and 10,259.09 is: 14,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.59 : 25,726.77 = 10,259.09 : x
  2. Step 2: Convert to fraction form
    18,642.59/25,726.77 = 10,259.09/x
  3. Step 3: Cross multiply
    18,642.59x = 25,726.77 × 10,259.09
  4. Step 4: Simplify right side
    18,642.59x = 263,933,173.18
  5. Step 5: Solve for x
    x = 263,933,173.18/18,642.59
  6. Step 6: Final answer
    x = 14,157.54

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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.