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Finding the Fourth Proportional to 13,221.65, 19,827.33 and 6,643.25

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Solution

The fourth proportional to 13,221.65, 19,827.33 and 6,643.25 is: 9,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.65 : 19,827.33 = 6,643.25 : x
  2. Step 2: Convert to fraction form
    13,221.65/19,827.33 = 6,643.25/x
  3. Step 3: Cross multiply
    13,221.65x = 19,827.33 × 6,643.25
  4. Step 4: Simplify right side
    13,221.65x = 131,717,910.02
  5. Step 5: Solve for x
    x = 131,717,910.02/13,221.65
  6. Step 6: Final answer
    x = 9,962.29

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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.