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Finding the Fourth Proportional to 16,464.60, 22,721.38 and 9,294.92

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Solution

The fourth proportional to 16,464.60, 22,721.38 and 9,294.92 is: 12,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.60 : 22,721.38 = 9,294.92 : x
  2. Step 2: Convert to fraction form
    16,464.60/22,721.38 = 9,294.92/x
  3. Step 3: Cross multiply
    16,464.60x = 22,721.38 × 9,294.92
  4. Step 4: Simplify right side
    16,464.60x = 211,193,357.75
  5. Step 5: Solve for x
    x = 211,193,357.75/16,464.60
  6. Step 6: Final answer
    x = 12,827.12

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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.