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Finding the Fourth Proportional to 22,614.84, 33,910.86 and 13,257.09

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Solution

The fourth proportional to 22,614.84, 33,910.86 and 13,257.09 is: 19,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.84 : 33,910.86 = 13,257.09 : x
  2. Step 2: Convert to fraction form
    22,614.84/33,910.86 = 13,257.09/x
  3. Step 3: Cross multiply
    22,614.84x = 33,910.86 × 13,257.09
  4. Step 4: Simplify right side
    22,614.84x = 449,559,323.00
  5. Step 5: Solve for x
    x = 449,559,323.00/22,614.84
  6. Step 6: Final answer
    x = 19,878.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.