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Finding the Fourth Proportional to 25,615.49, 38,423.20 and 8,085.32

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Solution

The fourth proportional to 25,615.49, 38,423.20 and 8,085.32 is: 12,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.49 : 38,423.20 = 8,085.32 : x
  2. Step 2: Convert to fraction form
    25,615.49/38,423.20 = 8,085.32/x
  3. Step 3: Cross multiply
    25,615.49x = 38,423.20 × 8,085.32
  4. Step 4: Simplify right side
    25,615.49x = 310,663,675.31
  5. Step 5: Solve for x
    x = 310,663,675.31/25,615.49
  6. Step 6: Final answer
    x = 12,127.96

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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.