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Finding the Fourth Proportional to 41,812.16, 62,700 and 12,229.32

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Solution

The fourth proportional to 41,812.16, 62,700 and 12,229.32 is: 18,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,812.16 : 62,700 = 12,229.32 : x
  2. Step 2: Convert to fraction form
    41,812.16/62,700 = 12,229.32/x
  3. Step 3: Cross multiply
    41,812.16x = 62,700 × 12,229.32
  4. Step 4: Simplify right side
    41,812.16x = 766,778,364
  5. Step 5: Solve for x
    x = 766,778,364/41,812.16
  6. Step 6: Final answer
    x = 18,338.65

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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.