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Finding the Fourth Proportional to 12,780.84, 19,155.71 and 6,843.13

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Solution

The fourth proportional to 12,780.84, 19,155.71 and 6,843.13 is: 10,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.84 : 19,155.71 = 6,843.13 : x
  2. Step 2: Convert to fraction form
    12,780.84/19,155.71 = 6,843.13/x
  3. Step 3: Cross multiply
    12,780.84x = 19,155.71 × 6,843.13
  4. Step 4: Simplify right side
    12,780.84x = 131,085,013.77
  5. Step 5: Solve for x
    x = 131,085,013.77/12,780.84
  6. Step 6: Final answer
    x = 10,256.37

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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.