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Finding the Fourth Proportional to 20,230.84, 30,360 and 7,083.16

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Solution

The fourth proportional to 20,230.84, 30,360 and 7,083.16 is: 10,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.84 : 30,360 = 7,083.16 : x
  2. Step 2: Convert to fraction form
    20,230.84/30,360 = 7,083.16/x
  3. Step 3: Cross multiply
    20,230.84x = 30,360 × 7,083.16
  4. Step 4: Simplify right side
    20,230.84x = 215,044,737.60
  5. Step 5: Solve for x
    x = 215,044,737.60/20,230.84
  6. Step 6: Final answer
    x = 10,629.55

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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.