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Finding the Fourth Proportional to 12,799.92, 17,664.16 and 7,498.56

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Solution

The fourth proportional to 12,799.92, 17,664.16 and 7,498.56 is: 10,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.92 : 17,664.16 = 7,498.56 : x
  2. Step 2: Convert to fraction form
    12,799.92/17,664.16 = 7,498.56/x
  3. Step 3: Cross multiply
    12,799.92x = 17,664.16 × 7,498.56
  4. Step 4: Simplify right side
    12,799.92x = 132,455,763.61
  5. Step 5: Solve for x
    x = 132,455,763.61/12,799.92
  6. Step 6: Final answer
    x = 10,348.17

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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.