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Finding the Fourth Proportional to 13,492.53, 18,618.81 and 7,523.85

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Solution

The fourth proportional to 13,492.53, 18,618.81 and 7,523.85 is: 10,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.53 : 18,618.81 = 7,523.85 : x
  2. Step 2: Convert to fraction form
    13,492.53/18,618.81 = 7,523.85/x
  3. Step 3: Cross multiply
    13,492.53x = 18,618.81 × 7,523.85
  4. Step 4: Simplify right side
    13,492.53x = 140,085,133.62
  5. Step 5: Solve for x
    x = 140,085,133.62/13,492.53
  6. Step 6: Final answer
    x = 10,382.42

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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.