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Finding the Fourth Proportional to 16,422.81, 22,665.29 and 9,348.09

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Solution

The fourth proportional to 16,422.81, 22,665.29 and 9,348.09 is: 12,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.81 : 22,665.29 = 9,348.09 : x
  2. Step 2: Convert to fraction form
    16,422.81/22,665.29 = 9,348.09/x
  3. Step 3: Cross multiply
    16,422.81x = 22,665.29 × 9,348.09
  4. Step 4: Simplify right side
    16,422.81x = 211,877,124.06
  5. Step 5: Solve for x
    x = 211,877,124.06/16,422.81
  6. Step 6: Final answer
    x = 12,901.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.