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Finding the Fourth Proportional to 12,833.10, 19,255.82 and 6,255.70

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Solution

The fourth proportional to 12,833.10, 19,255.82 and 6,255.70 is: 9,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.10 : 19,255.82 = 6,255.70 : x
  2. Step 2: Convert to fraction form
    12,833.10/19,255.82 = 6,255.70/x
  3. Step 3: Cross multiply
    12,833.10x = 19,255.82 × 6,255.70
  4. Step 4: Simplify right side
    12,833.10x = 120,458,553.76
  5. Step 5: Solve for x
    x = 120,458,553.76/12,833.10
  6. Step 6: Final answer
    x = 9,386.55

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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.