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Finding the Fourth Proportional to 16,287, 22,476.06 and 9,213.27

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Solution

The fourth proportional to 16,287, 22,476.06 and 9,213.27 is: 12,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287 : 22,476.06 = 9,213.27 : x
  2. Step 2: Convert to fraction form
    16,287/22,476.06 = 9,213.27/x
  3. Step 3: Cross multiply
    16,287x = 22,476.06 × 9,213.27
  4. Step 4: Simplify right side
    16,287x = 207,078,009.32
  5. Step 5: Solve for x
    x = 207,078,009.32/16,287
  6. Step 6: Final answer
    x = 12,714.31

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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.