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Finding the Fourth Proportional to 12,759.09, 19,113.72 and 8,363.22

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Solution

The fourth proportional to 12,759.09, 19,113.72 and 8,363.22 is: 12,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.09 : 19,113.72 = 8,363.22 : x
  2. Step 2: Convert to fraction form
    12,759.09/19,113.72 = 8,363.22/x
  3. Step 3: Cross multiply
    12,759.09x = 19,113.72 × 8,363.22
  4. Step 4: Simplify right side
    12,759.09x = 159,852,245.38
  5. Step 5: Solve for x
    x = 159,852,245.38/12,759.09
  6. Step 6: Final answer
    x = 12,528.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.