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Finding the Fourth Proportional to 21,574.20, 32,365.92 and 12,218.64

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Solution

The fourth proportional to 21,574.20, 32,365.92 and 12,218.64 is: 18,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.20 : 32,365.92 = 12,218.64 : x
  2. Step 2: Convert to fraction form
    21,574.20/32,365.92 = 12,218.64/x
  3. Step 3: Cross multiply
    21,574.20x = 32,365.92 × 12,218.64
  4. Step 4: Simplify right side
    21,574.20x = 395,467,524.75
  5. Step 5: Solve for x
    x = 395,467,524.75/21,574.20
  6. Step 6: Final answer
    x = 18,330.58

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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.