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Finding the Fourth Proportional to 12,867.84, 17,758.40 and 9,092.48

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Solution

The fourth proportional to 12,867.84, 17,758.40 and 9,092.48 is: 12,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.84 : 17,758.40 = 9,092.48 : x
  2. Step 2: Convert to fraction form
    12,867.84/17,758.40 = 9,092.48/x
  3. Step 3: Cross multiply
    12,867.84x = 17,758.40 × 9,092.48
  4. Step 4: Simplify right side
    12,867.84x = 161,467,896.83
  5. Step 5: Solve for x
    x = 161,467,896.83/12,867.84
  6. Step 6: Final answer
    x = 12,548.17

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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.