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Finding the Fourth Proportional to 15,122.25, 20,869.40 and 8,408.56

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Solution

The fourth proportional to 15,122.25, 20,869.40 and 8,408.56 is: 11,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.25 : 20,869.40 = 8,408.56 : x
  2. Step 2: Convert to fraction form
    15,122.25/20,869.40 = 8,408.56/x
  3. Step 3: Cross multiply
    15,122.25x = 20,869.40 × 8,408.56
  4. Step 4: Simplify right side
    15,122.25x = 175,481,602.06
  5. Step 5: Solve for x
    x = 175,481,602.06/15,122.25
  6. Step 6: Final answer
    x = 11,604.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.