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Finding the Fourth Proportional to 30,221.24, 41,702.86 and 17,475.24

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Solution

The fourth proportional to 30,221.24, 41,702.86 and 17,475.24 is: 24,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221.24 : 41,702.86 = 17,475.24 : x
  2. Step 2: Convert to fraction form
    30,221.24/41,702.86 = 17,475.24/x
  3. Step 3: Cross multiply
    30,221.24x = 41,702.86 × 17,475.24
  4. Step 4: Simplify right side
    30,221.24x = 728,767,616.27
  5. Step 5: Solve for x
    x = 728,767,616.27/30,221.24
  6. Step 6: Final answer
    x = 24,114.42

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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.