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Finding the Fourth Proportional to 12,812.38, 19,205.42 and 4,912.76

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Solution

The fourth proportional to 12,812.38, 19,205.42 and 4,912.76 is: 7,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.38 : 19,205.42 = 4,912.76 : x
  2. Step 2: Convert to fraction form
    12,812.38/19,205.42 = 4,912.76/x
  3. Step 3: Cross multiply
    12,812.38x = 19,205.42 × 4,912.76
  4. Step 4: Simplify right side
    12,812.38x = 94,351,642.61
  5. Step 5: Solve for x
    x = 94,351,642.61/12,812.38
  6. Step 6: Final answer
    x = 7,364.10

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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.