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Finding the Fourth Proportional to 16,274.93, 22,419.24 and 13,877.09

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Solution

The fourth proportional to 16,274.93, 22,419.24 and 13,877.09 is: 19,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.93 : 22,419.24 = 13,877.09 : x
  2. Step 2: Convert to fraction form
    16,274.93/22,419.24 = 13,877.09/x
  3. Step 3: Cross multiply
    16,274.93x = 22,419.24 × 13,877.09
  4. Step 4: Simplify right side
    16,274.93x = 311,113,811.21
  5. Step 5: Solve for x
    x = 311,113,811.21/16,274.93
  6. Step 6: Final answer
    x = 19,116.14

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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.