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Finding the Fourth Proportional to 12,896.74, 19,350.59 and 7,046.52

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Solution

The fourth proportional to 12,896.74, 19,350.59 and 7,046.52 is: 10,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.74 : 19,350.59 = 7,046.52 : x
  2. Step 2: Convert to fraction form
    12,896.74/19,350.59 = 7,046.52/x
  3. Step 3: Cross multiply
    12,896.74x = 19,350.59 × 7,046.52
  4. Step 4: Simplify right side
    12,896.74x = 136,354,211.65
  5. Step 5: Solve for x
    x = 136,354,211.65/12,896.74
  6. Step 6: Final answer
    x = 10,572.76

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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.