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Finding the Fourth Proportional to 12,878.99, 17,774.30 and 7,843.52

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Solution

The fourth proportional to 12,878.99, 17,774.30 and 7,843.52 is: 10,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.99 : 17,774.30 = 7,843.52 : x
  2. Step 2: Convert to fraction form
    12,878.99/17,774.30 = 7,843.52/x
  3. Step 3: Cross multiply
    12,878.99x = 17,774.30 × 7,843.52
  4. Step 4: Simplify right side
    12,878.99x = 139,413,077.54
  5. Step 5: Solve for x
    x = 139,413,077.54/12,878.99
  6. Step 6: Final answer
    x = 10,824.85

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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.