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Finding the Fourth Proportional to 19,909.84, 27,469.88 and 12,840.32

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Solution

The fourth proportional to 19,909.84, 27,469.88 and 12,840.32 is: 17,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.84 : 27,469.88 = 12,840.32 : x
  2. Step 2: Convert to fraction form
    19,909.84/27,469.88 = 12,840.32/x
  3. Step 3: Cross multiply
    19,909.84x = 27,469.88 × 12,840.32
  4. Step 4: Simplify right side
    19,909.84x = 352,722,049.56
  5. Step 5: Solve for x
    x = 352,722,049.56/19,909.84
  6. Step 6: Final answer
    x = 17,715.97

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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.