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Finding the Fourth Proportional to 24,782.48, 34,228.21 and 16,322.42

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Solution

The fourth proportional to 24,782.48, 34,228.21 and 16,322.42 is: 22,543.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.48 : 34,228.21 = 16,322.42 : x
  2. Step 2: Convert to fraction form
    24,782.48/34,228.21 = 16,322.42/x
  3. Step 3: Cross multiply
    24,782.48x = 34,228.21 × 16,322.42
  4. Step 4: Simplify right side
    24,782.48x = 558,687,048.33
  5. Step 5: Solve for x
    x = 558,687,048.33/24,782.48
  6. Step 6: Final answer
    x = 22,543.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.