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Finding the Fourth Proportional to 12,878.72, 17,780.48 and 12,084.48

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Solution

The fourth proportional to 12,878.72, 17,780.48 and 12,084.48 is: 16,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.72 : 17,780.48 = 12,084.48 : x
  2. Step 2: Convert to fraction form
    12,878.72/17,780.48 = 12,084.48/x
  3. Step 3: Cross multiply
    12,878.72x = 17,780.48 × 12,084.48
  4. Step 4: Simplify right side
    12,878.72x = 214,867,854.95
  5. Step 5: Solve for x
    x = 214,867,854.95/12,878.72
  6. Step 6: Final answer
    x = 16,683.94

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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.