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Finding the Fourth Proportional to 16,461.06, 22,717.11 and 9,194.14

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Solution

The fourth proportional to 16,461.06, 22,717.11 and 9,194.14 is: 12,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.06 : 22,717.11 = 9,194.14 : x
  2. Step 2: Convert to fraction form
    16,461.06/22,717.11 = 9,194.14/x
  3. Step 3: Cross multiply
    16,461.06x = 22,717.11 × 9,194.14
  4. Step 4: Simplify right side
    16,461.06x = 208,864,289.74
  5. Step 5: Solve for x
    x = 208,864,289.74/16,461.06
  6. Step 6: Final answer
    x = 12,688.39

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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.