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Finding the Fourth Proportional to 16,461.69, 22,717.17 and 9,293.16

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Solution

The fourth proportional to 16,461.69, 22,717.17 and 9,293.16 is: 12,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.69 : 22,717.17 = 9,293.16 : x
  2. Step 2: Convert to fraction form
    16,461.69/22,717.17 = 9,293.16/x
  3. Step 3: Cross multiply
    16,461.69x = 22,717.17 × 9,293.16
  4. Step 4: Simplify right side
    16,461.69x = 211,114,295.56
  5. Step 5: Solve for x
    x = 211,114,295.56/16,461.69
  6. Step 6: Final answer
    x = 12,824.58

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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.