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Finding the Fourth Proportional to 25,615.85, 38,427.62 and 8,085.42

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Solution

The fourth proportional to 25,615.85, 38,427.62 and 8,085.42 is: 12,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.85 : 38,427.62 = 8,085.42 : x
  2. Step 2: Convert to fraction form
    25,615.85/38,427.62 = 8,085.42/x
  3. Step 3: Cross multiply
    25,615.85x = 38,427.62 × 8,085.42
  4. Step 4: Simplify right side
    25,615.85x = 310,703,406.87
  5. Step 5: Solve for x
    x = 310,703,406.87/25,615.85
  6. Step 6: Final answer
    x = 12,129.34

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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.