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Finding the Fourth Proportional to 13,686.71, 18,883.02 and 11,164.43

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Solution

The fourth proportional to 13,686.71, 18,883.02 and 11,164.43 is: 15,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.71 : 18,883.02 = 11,164.43 : x
  2. Step 2: Convert to fraction form
    13,686.71/18,883.02 = 11,164.43/x
  3. Step 3: Cross multiply
    13,686.71x = 18,883.02 × 11,164.43
  4. Step 4: Simplify right side
    13,686.71x = 210,818,244.05
  5. Step 5: Solve for x
    x = 210,818,244.05/13,686.71
  6. Step 6: Final answer
    x = 15,403.14

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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.