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Finding the Fourth Proportional to 16,464.47, 22,721.00 and 8,910.82

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Solution

The fourth proportional to 16,464.47, 22,721.00 and 8,910.82 is: 12,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.47 : 22,721.00 = 8,910.82 : x
  2. Step 2: Convert to fraction form
    16,464.47/22,721.00 = 8,910.82/x
  3. Step 3: Cross multiply
    16,464.47x = 22,721.00 × 8,910.82
  4. Step 4: Simplify right side
    16,464.47x = 202,462,647.38
  5. Step 5: Solve for x
    x = 202,462,647.38/16,464.47
  6. Step 6: Final answer
    x = 12,296.94

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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.