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Finding the Fourth Proportional to 12,149.32, 18,219.89 and 4,651.12

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Solution

The fourth proportional to 12,149.32, 18,219.89 and 4,651.12 is: 6,975.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.32 : 18,219.89 = 4,651.12 : x
  2. Step 2: Convert to fraction form
    12,149.32/18,219.89 = 4,651.12/x
  3. Step 3: Cross multiply
    12,149.32x = 18,219.89 × 4,651.12
  4. Step 4: Simplify right side
    12,149.32x = 84,742,894.78
  5. Step 5: Solve for x
    x = 84,742,894.78/12,149.32
  6. Step 6: Final answer
    x = 6,975.11

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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.