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Finding the Fourth Proportional to 13,019.72, 19,540.08 and 6,781.64

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Solution

The fourth proportional to 13,019.72, 19,540.08 and 6,781.64 is: 10,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.72 : 19,540.08 = 6,781.64 : x
  2. Step 2: Convert to fraction form
    13,019.72/19,540.08 = 6,781.64/x
  3. Step 3: Cross multiply
    13,019.72x = 19,540.08 × 6,781.64
  4. Step 4: Simplify right side
    13,019.72x = 132,513,788.13
  5. Step 5: Solve for x
    x = 132,513,788.13/13,019.72
  6. Step 6: Final answer
    x = 10,177.93

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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.