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Finding the Fourth Proportional to 12,224.58, 18,312.21 and 5,641.62

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Solution

The fourth proportional to 12,224.58, 18,312.21 and 5,641.62 is: 8,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.58 : 18,312.21 = 5,641.62 : x
  2. Step 2: Convert to fraction form
    12,224.58/18,312.21 = 5,641.62/x
  3. Step 3: Cross multiply
    12,224.58x = 18,312.21 × 5,641.62
  4. Step 4: Simplify right side
    12,224.58x = 103,310,530.18
  5. Step 5: Solve for x
    x = 103,310,530.18/12,224.58
  6. Step 6: Final answer
    x = 8,451.05

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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.