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Finding the Fourth Proportional to 12,201.60, 18,283.20 and 6,349.44

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Solution

The fourth proportional to 12,201.60, 18,283.20 and 6,349.44 is: 9,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.60 : 18,283.20 = 6,349.44 : x
  2. Step 2: Convert to fraction form
    12,201.60/18,283.20 = 6,349.44/x
  3. Step 3: Cross multiply
    12,201.60x = 18,283.20 × 6,349.44
  4. Step 4: Simplify right side
    12,201.60x = 116,088,081.41
  5. Step 5: Solve for x
    x = 116,088,081.41/12,201.60
  6. Step 6: Final answer
    x = 9,514.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.