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Finding the Fourth Proportional to 12,082.04, 18,112.98 and 8,391.50

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Solution

The fourth proportional to 12,082.04, 18,112.98 and 8,391.50 is: 12,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.04 : 18,112.98 = 8,391.50 : x
  2. Step 2: Convert to fraction form
    12,082.04/18,112.98 = 8,391.50/x
  3. Step 3: Cross multiply
    12,082.04x = 18,112.98 × 8,391.50
  4. Step 4: Simplify right side
    12,082.04x = 151,995,071.67
  5. Step 5: Solve for x
    x = 151,995,071.67/12,082.04
  6. Step 6: Final answer
    x = 12,580.25

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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.