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Finding the Fourth Proportional to 16,239, 22,397.99 and 12,419.27

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Solution

The fourth proportional to 16,239, 22,397.99 and 12,419.27 is: 17,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239 : 22,397.99 = 12,419.27 : x
  2. Step 2: Convert to fraction form
    16,239/22,397.99 = 12,419.27/x
  3. Step 3: Cross multiply
    16,239x = 22,397.99 × 12,419.27
  4. Step 4: Simplify right side
    16,239x = 278,166,685.27
  5. Step 5: Solve for x
    x = 278,166,685.27/16,239
  6. Step 6: Final answer
    x = 17,129.55

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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.