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Finding the Fourth Proportional to 12,318.70, 18,484.24 and 5,745.40

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Solution

The fourth proportional to 12,318.70, 18,484.24 and 5,745.40 is: 8,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318.70 : 18,484.24 = 5,745.40 : x
  2. Step 2: Convert to fraction form
    12,318.70/18,484.24 = 5,745.40/x
  3. Step 3: Cross multiply
    12,318.70x = 18,484.24 × 5,745.40
  4. Step 4: Simplify right side
    12,318.70x = 106,199,352.50
  5. Step 5: Solve for x
    x = 106,199,352.50/12,318.70
  6. Step 6: Final answer
    x = 8,620.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.