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Finding the Fourth Proportional to 12,226, 16,872.24 and 6,637.36

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Solution

The fourth proportional to 12,226, 16,872.24 and 6,637.36 is: 9,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226 : 16,872.24 = 6,637.36 : x
  2. Step 2: Convert to fraction form
    12,226/16,872.24 = 6,637.36/x
  3. Step 3: Cross multiply
    12,226x = 16,872.24 × 6,637.36
  4. Step 4: Simplify right side
    12,226x = 111,987,130.89
  5. Step 5: Solve for x
    x = 111,987,130.89/12,226
  6. Step 6: Final answer
    x = 9,159.75

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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.