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Finding the Fourth Proportional to 12,230.32, 18,354.66 and 5,661.10

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Solution

The fourth proportional to 12,230.32, 18,354.66 and 5,661.10 is: 8,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.32 : 18,354.66 = 5,661.10 : x
  2. Step 2: Convert to fraction form
    12,230.32/18,354.66 = 5,661.10/x
  3. Step 3: Cross multiply
    12,230.32x = 18,354.66 × 5,661.10
  4. Step 4: Simplify right side
    12,230.32x = 103,907,565.73
  5. Step 5: Solve for x
    x = 103,907,565.73/12,230.32
  6. Step 6: Final answer
    x = 8,495.90

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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.