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Finding the Fourth Proportional to 12,233, 16,881.54 and 6,644

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Solution

The fourth proportional to 12,233, 16,881.54 and 6,644 is: 9,168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233 : 16,881.54 = 6,644 : x
  2. Step 2: Convert to fraction form
    12,233/16,881.54 = 6,644/x
  3. Step 3: Cross multiply
    12,233x = 16,881.54 × 6,644
  4. Step 4: Simplify right side
    12,233x = 112,160,951.76
  5. Step 5: Solve for x
    x = 112,160,951.76/12,233
  6. Step 6: Final answer
    x = 9,168.72

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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.