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Finding the Fourth Proportional to 13,092, 19,633.20 and 4,324.32

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Solution

The fourth proportional to 13,092, 19,633.20 and 4,324.32 is: 6,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092 : 19,633.20 = 4,324.32 : x
  2. Step 2: Convert to fraction form
    13,092/19,633.20 = 4,324.32/x
  3. Step 3: Cross multiply
    13,092x = 19,633.20 × 4,324.32
  4. Step 4: Simplify right side
    13,092x = 84,900,239.42
  5. Step 5: Solve for x
    x = 84,900,239.42/13,092
  6. Step 6: Final answer
    x = 6,484.89

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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.