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Finding the Fourth Proportional to 13,092, 19,634.04 and 4,329.24

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Solution

The fourth proportional to 13,092, 19,634.04 and 4,329.24 is: 6,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092 : 19,634.04 = 4,329.24 : x
  2. Step 2: Convert to fraction form
    13,092/19,634.04 = 4,329.24/x
  3. Step 3: Cross multiply
    13,092x = 19,634.04 × 4,329.24
  4. Step 4: Simplify right side
    13,092x = 85,000,471.33
  5. Step 5: Solve for x
    x = 85,000,471.33/13,092
  6. Step 6: Final answer
    x = 6,492.55

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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.