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Finding the Fourth Proportional to 12,022.32, 18,006.12 and 8,307.72

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Solution

The fourth proportional to 12,022.32, 18,006.12 and 8,307.72 is: 12,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.32 : 18,006.12 = 8,307.72 : x
  2. Step 2: Convert to fraction form
    12,022.32/18,006.12 = 8,307.72/x
  3. Step 3: Cross multiply
    12,022.32x = 18,006.12 × 8,307.72
  4. Step 4: Simplify right side
    12,022.32x = 149,589,803.25
  5. Step 5: Solve for x
    x = 149,589,803.25/12,022.32
  6. Step 6: Final answer
    x = 12,442.67

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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.