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Finding the Fourth Proportional to 12,225.32, 18,335.03 and 5,645.18

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Solution

The fourth proportional to 12,225.32, 18,335.03 and 5,645.18 is: 8,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.32 : 18,335.03 = 5,645.18 : x
  2. Step 2: Convert to fraction form
    12,225.32/18,335.03 = 5,645.18/x
  3. Step 3: Cross multiply
    12,225.32x = 18,335.03 × 5,645.18
  4. Step 4: Simplify right side
    12,225.32x = 103,504,544.66
  5. Step 5: Solve for x
    x = 103,504,544.66/12,225.32
  6. Step 6: Final answer
    x = 8,466.41

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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.