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Finding the Fourth Proportional to 25,832.74, 38,750.05 and 7,114.22

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Solution

The fourth proportional to 25,832.74, 38,750.05 and 7,114.22 is: 10,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.74 : 38,750.05 = 7,114.22 : x
  2. Step 2: Convert to fraction form
    25,832.74/38,750.05 = 7,114.22/x
  3. Step 3: Cross multiply
    25,832.74x = 38,750.05 × 7,114.22
  4. Step 4: Simplify right side
    25,832.74x = 275,676,380.71
  5. Step 5: Solve for x
    x = 275,676,380.71/25,832.74
  6. Step 6: Final answer
    x = 10,671.59

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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.