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Finding the Fourth Proportional to 25,837.68, 38,756.73 and 7,118.75

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Solution

The fourth proportional to 25,837.68, 38,756.73 and 7,118.75 is: 10,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,837.68 : 38,756.73 = 7,118.75 : x
  2. Step 2: Convert to fraction form
    25,837.68/38,756.73 = 7,118.75/x
  3. Step 3: Cross multiply
    25,837.68x = 38,756.73 × 7,118.75
  4. Step 4: Simplify right side
    25,837.68x = 275,899,471.69
  5. Step 5: Solve for x
    x = 275,899,471.69/25,837.68
  6. Step 6: Final answer
    x = 10,678.18

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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.