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Finding the Fourth Proportional to 12,535.70, 17,299.13 and 6,870.76

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Solution

The fourth proportional to 12,535.70, 17,299.13 and 6,870.76 is: 9,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.70 : 17,299.13 = 6,870.76 : x
  2. Step 2: Convert to fraction form
    12,535.70/17,299.13 = 6,870.76/x
  3. Step 3: Cross multiply
    12,535.70x = 17,299.13 × 6,870.76
  4. Step 4: Simplify right side
    12,535.70x = 118,858,092.84
  5. Step 5: Solve for x
    x = 118,858,092.84/12,535.70
  6. Step 6: Final answer
    x = 9,481.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.