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Finding the Fourth Proportional to 20,402.84, 30,578.34 and 9,315.56

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Solution

The fourth proportional to 20,402.84, 30,578.34 and 9,315.56 is: 13,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.84 : 30,578.34 = 9,315.56 : x
  2. Step 2: Convert to fraction form
    20,402.84/30,578.34 = 9,315.56/x
  3. Step 3: Cross multiply
    20,402.84x = 30,578.34 × 9,315.56
  4. Step 4: Simplify right side
    20,402.84x = 284,854,360.97
  5. Step 5: Solve for x
    x = 284,854,360.97/20,402.84
  6. Step 6: Final answer
    x = 13,961.51

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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.