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Finding the Fourth Proportional to 19,801.84, 29,705.88 and 8,111.92

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Solution

The fourth proportional to 19,801.84, 29,705.88 and 8,111.92 is: 12,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.84 : 29,705.88 = 8,111.92 : x
  2. Step 2: Convert to fraction form
    19,801.84/29,705.88 = 8,111.92/x
  3. Step 3: Cross multiply
    19,801.84x = 29,705.88 × 8,111.92
  4. Step 4: Simplify right side
    19,801.84x = 240,971,722.09
  5. Step 5: Solve for x
    x = 240,971,722.09/19,801.84
  6. Step 6: Final answer
    x = 12,169.16

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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.