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Finding the Fourth Proportional to 16,418.01, 22,657.13 and 9,345.09

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Solution

The fourth proportional to 16,418.01, 22,657.13 and 9,345.09 is: 12,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418.01 : 22,657.13 = 9,345.09 : x
  2. Step 2: Convert to fraction form
    16,418.01/22,657.13 = 9,345.09/x
  3. Step 3: Cross multiply
    16,418.01x = 22,657.13 × 9,345.09
  4. Step 4: Simplify right side
    16,418.01x = 211,733,044.84
  5. Step 5: Solve for x
    x = 211,733,044.84/16,418.01
  6. Step 6: Final answer
    x = 12,896.39

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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.