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Finding the Fourth Proportional to 23,796, 32,793.21 and 17,424.54

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Solution

The fourth proportional to 23,796, 32,793.21 and 17,424.54 is: 24,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796 : 32,793.21 = 17,424.54 : x
  2. Step 2: Convert to fraction form
    23,796/32,793.21 = 17,424.54/x
  3. Step 3: Cross multiply
    23,796x = 32,793.21 × 17,424.54
  4. Step 4: Simplify right side
    23,796x = 571,406,599.37
  5. Step 5: Solve for x
    x = 571,406,599.37/23,796
  6. Step 6: Final answer
    x = 24,012.72

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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.