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Finding the Fourth Proportional to 20,032.21, 30,042.42 and 7,543.21

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Solution

The fourth proportional to 20,032.21, 30,042.42 and 7,543.21 is: 11,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.21 : 30,042.42 = 7,543.21 : x
  2. Step 2: Convert to fraction form
    20,032.21/30,042.42 = 7,543.21/x
  3. Step 3: Cross multiply
    20,032.21x = 30,042.42 × 7,543.21
  4. Step 4: Simplify right side
    20,032.21x = 226,616,282.97
  5. Step 5: Solve for x
    x = 226,616,282.97/20,032.21
  6. Step 6: Final answer
    x = 11,312.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.