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Finding the Fourth Proportional to 25,648.90, 38,471.16 and 8,116.18

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Solution

The fourth proportional to 25,648.90, 38,471.16 and 8,116.18 is: 12,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.90 : 38,471.16 = 8,116.18 : x
  2. Step 2: Convert to fraction form
    25,648.90/38,471.16 = 8,116.18/x
  3. Step 3: Cross multiply
    25,648.90x = 38,471.16 × 8,116.18
  4. Step 4: Simplify right side
    25,648.90x = 312,238,859.37
  5. Step 5: Solve for x
    x = 312,238,859.37/25,648.90
  6. Step 6: Final answer
    x = 12,173.58

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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.