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Finding the Fourth Proportional to 12,149.25, 18,225 and 5,574.48

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Solution

The fourth proportional to 12,149.25, 18,225 and 5,574.48 is: 8,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.25 : 18,225 = 5,574.48 : x
  2. Step 2: Convert to fraction form
    12,149.25/18,225 = 5,574.48/x
  3. Step 3: Cross multiply
    12,149.25x = 18,225 × 5,574.48
  4. Step 4: Simplify right side
    12,149.25x = 101,594,898.00
  5. Step 5: Solve for x
    x = 101,594,898.00/12,149.25
  6. Step 6: Final answer
    x = 8,362.24

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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.