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Finding the Fourth Proportional to 25,114.31, 37,683.75 and 10,120.80

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Solution

The fourth proportional to 25,114.31, 37,683.75 and 10,120.80 is: 15,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.31 : 37,683.75 = 10,120.80 : x
  2. Step 2: Convert to fraction form
    25,114.31/37,683.75 = 10,120.80/x
  3. Step 3: Cross multiply
    25,114.31x = 37,683.75 × 10,120.80
  4. Step 4: Simplify right side
    25,114.31x = 381,389,697
  5. Step 5: Solve for x
    x = 381,389,697/25,114.31
  6. Step 6: Final answer
    x = 15,186.15

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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.