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Finding the Fourth Proportional to 13,492.62, 18,618.39 and 7,524.54

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Solution

The fourth proportional to 13,492.62, 18,618.39 and 7,524.54 is: 10,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.62 : 18,618.39 = 7,524.54 : x
  2. Step 2: Convert to fraction form
    13,492.62/18,618.39 = 7,524.54/x
  3. Step 3: Cross multiply
    13,492.62x = 18,618.39 × 7,524.54
  4. Step 4: Simplify right side
    13,492.62x = 140,094,820.29
  5. Step 5: Solve for x
    x = 140,094,820.29/13,492.62
  6. Step 6: Final answer
    x = 10,383.07

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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.