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Finding the Fourth Proportional to 19,881.59, 27,431.07 and 13,165.07

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Solution

The fourth proportional to 19,881.59, 27,431.07 and 13,165.07 is: 18,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.59 : 27,431.07 = 13,165.07 : x
  2. Step 2: Convert to fraction form
    19,881.59/27,431.07 = 13,165.07/x
  3. Step 3: Cross multiply
    19,881.59x = 27,431.07 × 13,165.07
  4. Step 4: Simplify right side
    19,881.59x = 361,131,956.72
  5. Step 5: Solve for x
    x = 361,131,956.72/19,881.59
  6. Step 6: Final answer
    x = 18,164.14

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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.