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Finding the Fourth Proportional to 16,422, 22,672.78 and 11,384.40

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Solution

The fourth proportional to 16,422, 22,672.78 and 11,384.40 is: 15,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422 : 22,672.78 = 11,384.40 : x
  2. Step 2: Convert to fraction form
    16,422/22,672.78 = 11,384.40/x
  3. Step 3: Cross multiply
    16,422x = 22,672.78 × 11,384.40
  4. Step 4: Simplify right side
    16,422x = 258,115,996.63
  5. Step 5: Solve for x
    x = 258,115,996.63/16,422
  6. Step 6: Final answer
    x = 15,717.70

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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.