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Finding the Fourth Proportional to 25,998.17, 38,992.39 and 10,202.56

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Solution

The fourth proportional to 25,998.17, 38,992.39 and 10,202.56 is: 15,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998.17 : 38,992.39 = 10,202.56 : x
  2. Step 2: Convert to fraction form
    25,998.17/38,992.39 = 10,202.56/x
  3. Step 3: Cross multiply
    25,998.17x = 38,992.39 × 10,202.56
  4. Step 4: Simplify right side
    25,998.17x = 397,822,075.53
  5. Step 5: Solve for x
    x = 397,822,075.53/25,998.17
  6. Step 6: Final answer
    x = 15,301.93

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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.