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Finding the Fourth Proportional to 12,233.06, 16,881.53 and 6,644.10

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Solution

The fourth proportional to 12,233.06, 16,881.53 and 6,644.10 is: 9,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.06 : 16,881.53 = 6,644.10 : x
  2. Step 2: Convert to fraction form
    12,233.06/16,881.53 = 6,644.10/x
  3. Step 3: Cross multiply
    12,233.06x = 16,881.53 × 6,644.10
  4. Step 4: Simplify right side
    12,233.06x = 112,162,573.47
  5. Step 5: Solve for x
    x = 112,162,573.47/12,233.06
  6. Step 6: Final answer
    x = 9,168.81

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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.