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Finding the Fourth Proportional to 12,272.76, 18,412.20 and 5,703.60

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Solution

The fourth proportional to 12,272.76, 18,412.20 and 5,703.60 is: 8,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.76 : 18,412.20 = 5,703.60 : x
  2. Step 2: Convert to fraction form
    12,272.76/18,412.20 = 5,703.60/x
  3. Step 3: Cross multiply
    12,272.76x = 18,412.20 × 5,703.60
  4. Step 4: Simplify right side
    12,272.76x = 105,015,823.92
  5. Step 5: Solve for x
    x = 105,015,823.92/12,272.76
  6. Step 6: Final answer
    x = 8,556.82

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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.