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Finding the Fourth Proportional to 25,387.12, 38,080.80 and 10,586.80

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Solution

The fourth proportional to 25,387.12, 38,080.80 and 10,586.80 is: 15,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,387.12 : 38,080.80 = 10,586.80 : x
  2. Step 2: Convert to fraction form
    25,387.12/38,080.80 = 10,586.80/x
  3. Step 3: Cross multiply
    25,387.12x = 38,080.80 × 10,586.80
  4. Step 4: Simplify right side
    25,387.12x = 403,153,813.44
  5. Step 5: Solve for x
    x = 403,153,813.44/25,387.12
  6. Step 6: Final answer
    x = 15,880.25

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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.