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Finding the Fourth Proportional to 25,649.46, 38,464.98 and 10,859.43

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Solution

The fourth proportional to 25,649.46, 38,464.98 and 10,859.43 is: 16,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.46 : 38,464.98 = 10,859.43 : x
  2. Step 2: Convert to fraction form
    25,649.46/38,464.98 = 10,859.43/x
  3. Step 3: Cross multiply
    25,649.46x = 38,464.98 × 10,859.43
  4. Step 4: Simplify right side
    25,649.46x = 417,707,757.76
  5. Step 5: Solve for x
    x = 417,707,757.76/25,649.46
  6. Step 6: Final answer
    x = 16,285.25

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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.