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Finding the Fourth Proportional to 12,781.64, 19,164.36 and 5,391.20

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Solution

The fourth proportional to 12,781.64, 19,164.36 and 5,391.20 is: 8,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.64 : 19,164.36 = 5,391.20 : x
  2. Step 2: Convert to fraction form
    12,781.64/19,164.36 = 5,391.20/x
  3. Step 3: Cross multiply
    12,781.64x = 19,164.36 × 5,391.20
  4. Step 4: Simplify right side
    12,781.64x = 103,318,897.63
  5. Step 5: Solve for x
    x = 103,318,897.63/12,781.64
  6. Step 6: Final answer
    x = 8,083.38

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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.