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Finding the Fourth Proportional to 13,082.18, 18,055.05 and 8,364.74

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Solution

The fourth proportional to 13,082.18, 18,055.05 and 8,364.74 is: 11,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.18 : 18,055.05 = 8,364.74 : x
  2. Step 2: Convert to fraction form
    13,082.18/18,055.05 = 8,364.74/x
  3. Step 3: Cross multiply
    13,082.18x = 18,055.05 × 8,364.74
  4. Step 4: Simplify right side
    13,082.18x = 151,025,798.94
  5. Step 5: Solve for x
    x = 151,025,798.94/13,082.18
  6. Step 6: Final answer
    x = 11,544.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.