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Finding the Fourth Proportional to 19,778.36, 27,323.78 and 12,988.49

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Solution

The fourth proportional to 19,778.36, 27,323.78 and 12,988.49 is: 17,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.36 : 27,323.78 = 12,988.49 : x
  2. Step 2: Convert to fraction form
    19,778.36/27,323.78 = 12,988.49/x
  3. Step 3: Cross multiply
    19,778.36x = 27,323.78 × 12,988.49
  4. Step 4: Simplify right side
    19,778.36x = 354,894,441.73
  5. Step 5: Solve for x
    x = 354,894,441.73/19,778.36
  6. Step 6: Final answer
    x = 17,943.58

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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.