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Finding the Fourth Proportional to 24,782.62, 34,228.40 and 16,322.58

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Solution

The fourth proportional to 24,782.62, 34,228.40 and 16,322.58 is: 22,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.62 : 34,228.40 = 16,322.58 : x
  2. Step 2: Convert to fraction form
    24,782.62/34,228.40 = 16,322.58/x
  3. Step 3: Cross multiply
    24,782.62x = 34,228.40 × 16,322.58
  4. Step 4: Simplify right side
    24,782.62x = 558,695,797.27
  5. Step 5: Solve for x
    x = 558,695,797.27/24,782.62
  6. Step 6: Final answer
    x = 22,543.86

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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.