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Finding the Fourth Proportional to 13,400.24, 18,492.88 and 8,094

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Solution

The fourth proportional to 13,400.24, 18,492.88 and 8,094 is: 11,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.24 : 18,492.88 = 8,094 : x
  2. Step 2: Convert to fraction form
    13,400.24/18,492.88 = 8,094/x
  3. Step 3: Cross multiply
    13,400.24x = 18,492.88 × 8,094
  4. Step 4: Simplify right side
    13,400.24x = 149,681,370.72
  5. Step 5: Solve for x
    x = 149,681,370.72/13,400.24
  6. Step 6: Final answer
    x = 11,170.05

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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.