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Finding the Fourth Proportional to 12,218.16, 18,319.02 and 5,640.72

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Solution

The fourth proportional to 12,218.16, 18,319.02 and 5,640.72 is: 8,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.16 : 18,319.02 = 5,640.72 : x
  2. Step 2: Convert to fraction form
    12,218.16/18,319.02 = 5,640.72/x
  3. Step 3: Cross multiply
    12,218.16x = 18,319.02 × 5,640.72
  4. Step 4: Simplify right side
    12,218.16x = 103,332,462.49
  5. Step 5: Solve for x
    x = 103,332,462.49/12,218.16
  6. Step 6: Final answer
    x = 8,457.29

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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.