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Finding the Fourth Proportional to 12,781.25, 19,174.92 and 4,016.16

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Solution

The fourth proportional to 12,781.25, 19,174.92 and 4,016.16 is: 6,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.25 : 19,174.92 = 4,016.16 : x
  2. Step 2: Convert to fraction form
    12,781.25/19,174.92 = 4,016.16/x
  3. Step 3: Cross multiply
    12,781.25x = 19,174.92 × 4,016.16
  4. Step 4: Simplify right side
    12,781.25x = 77,009,546.71
  5. Step 5: Solve for x
    x = 77,009,546.71/12,781.25
  6. Step 6: Final answer
    x = 6,025.20

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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.