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Finding the Fourth Proportional to 25,805.96, 38,726.22 and 9,165.32

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Solution

The fourth proportional to 25,805.96, 38,726.22 and 9,165.32 is: 13,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.96 : 38,726.22 = 9,165.32 : x
  2. Step 2: Convert to fraction form
    25,805.96/38,726.22 = 9,165.32/x
  3. Step 3: Cross multiply
    25,805.96x = 38,726.22 × 9,165.32
  4. Step 4: Simplify right side
    25,805.96x = 354,938,198.69
  5. Step 5: Solve for x
    x = 354,938,198.69/25,805.96
  6. Step 6: Final answer
    x = 13,754.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.