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Finding the Fourth Proportional to 24,777.54, 34,221.38 and 16,317.48

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Solution

The fourth proportional to 24,777.54, 34,221.38 and 16,317.48 is: 22,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777.54 : 34,221.38 = 16,317.48 : x
  2. Step 2: Convert to fraction form
    24,777.54/34,221.38 = 16,317.48/x
  3. Step 3: Cross multiply
    24,777.54x = 34,221.38 × 16,317.48
  4. Step 4: Simplify right side
    24,777.54x = 558,406,690.95
  5. Step 5: Solve for x
    x = 558,406,690.95/24,777.54
  6. Step 6: Final answer
    x = 22,536.81

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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.