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Finding the Fourth Proportional to 25,842.24, 38,776.32 and 10,264.32

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Solution

The fourth proportional to 25,842.24, 38,776.32 and 10,264.32 is: 15,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.24 : 38,776.32 = 10,264.32 : x
  2. Step 2: Convert to fraction form
    25,842.24/38,776.32 = 10,264.32/x
  3. Step 3: Cross multiply
    25,842.24x = 38,776.32 × 10,264.32
  4. Step 4: Simplify right side
    25,842.24x = 398,012,556.90
  5. Step 5: Solve for x
    x = 398,012,556.90/25,842.24
  6. Step 6: Final answer
    x = 15,401.63

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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.