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Finding the Fourth Proportional to 19,857.96, 27,395.82 and 13,151.16

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Solution

The fourth proportional to 19,857.96, 27,395.82 and 13,151.16 is: 18,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.96 : 27,395.82 = 13,151.16 : x
  2. Step 2: Convert to fraction form
    19,857.96/27,395.82 = 13,151.16/x
  3. Step 3: Cross multiply
    19,857.96x = 27,395.82 × 13,151.16
  4. Step 4: Simplify right side
    19,857.96x = 360,286,812.15
  5. Step 5: Solve for x
    x = 360,286,812.15/19,857.96
  6. Step 6: Final answer
    x = 18,143.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.