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Finding the Fourth Proportional to 12,787.50, 17,647.02 and 7,198.50

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Solution

The fourth proportional to 12,787.50, 17,647.02 and 7,198.50 is: 9,934.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.50 : 17,647.02 = 7,198.50 : x
  2. Step 2: Convert to fraction form
    12,787.50/17,647.02 = 7,198.50/x
  3. Step 3: Cross multiply
    12,787.50x = 17,647.02 × 7,198.50
  4. Step 4: Simplify right side
    12,787.50x = 127,032,073.47
  5. Step 5: Solve for x
    x = 127,032,073.47/12,787.50
  6. Step 6: Final answer
    x = 9,934.08

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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.