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Finding the Fourth Proportional to 12,938.25, 17,855.19 and 7,637.61

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Solution

The fourth proportional to 12,938.25, 17,855.19 and 7,637.61 is: 10,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.25 : 17,855.19 = 7,637.61 : x
  2. Step 2: Convert to fraction form
    12,938.25/17,855.19 = 7,637.61/x
  3. Step 3: Cross multiply
    12,938.25x = 17,855.19 × 7,637.61
  4. Step 4: Simplify right side
    12,938.25x = 136,370,977.70
  5. Step 5: Solve for x
    x = 136,370,977.70/12,938.25
  6. Step 6: Final answer
    x = 10,540.14

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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.