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Finding the Fourth Proportional to 23,216, 34,777.88 and 11,493.44

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Solution

The fourth proportional to 23,216, 34,777.88 and 11,493.44 is: 17,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216 : 34,777.88 = 11,493.44 : x
  2. Step 2: Convert to fraction form
    23,216/34,777.88 = 11,493.44/x
  3. Step 3: Cross multiply
    23,216x = 34,777.88 × 11,493.44
  4. Step 4: Simplify right side
    23,216x = 399,717,477.11
  5. Step 5: Solve for x
    x = 399,717,477.11/23,216
  6. Step 6: Final answer
    x = 17,217.33

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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.