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Finding the Fourth Proportional to 12,201.60, 18,289.80 and 6,643.20

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Solution

The fourth proportional to 12,201.60, 18,289.80 and 6,643.20 is: 9,957.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.60 : 18,289.80 = 6,643.20 : x
  2. Step 2: Convert to fraction form
    12,201.60/18,289.80 = 6,643.20/x
  3. Step 3: Cross multiply
    12,201.60x = 18,289.80 × 6,643.20
  4. Step 4: Simplify right side
    12,201.60x = 121,502,799.36
  5. Step 5: Solve for x
    x = 121,502,799.36/12,201.60
  6. Step 6: Final answer
    x = 9,957.94

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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.