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Finding the Fourth Proportional to 12,812.49, 19,204.70 and 8,364.69

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Solution

The fourth proportional to 12,812.49, 19,204.70 and 8,364.69 is: 12,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.49 : 19,204.70 = 8,364.69 : x
  2. Step 2: Convert to fraction form
    12,812.49/19,204.70 = 8,364.69/x
  3. Step 3: Cross multiply
    12,812.49x = 19,204.70 × 8,364.69
  4. Step 4: Simplify right side
    12,812.49x = 160,641,320.22
  5. Step 5: Solve for x
    x = 160,641,320.22/12,812.49
  6. Step 6: Final answer
    x = 12,537.87

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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.