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Finding the Fourth Proportional to 30,000.20, 41,402.10 and 17,257.40

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Solution

The fourth proportional to 30,000.20, 41,402.10 and 17,257.40 is: 23,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.20 : 41,402.10 = 17,257.40 : x
  2. Step 2: Convert to fraction form
    30,000.20/41,402.10 = 17,257.40/x
  3. Step 3: Cross multiply
    30,000.20x = 41,402.10 × 17,257.40
  4. Step 4: Simplify right side
    30,000.20x = 714,492,600.54
  5. Step 5: Solve for x
    x = 714,492,600.54/30,000.20
  6. Step 6: Final answer
    x = 23,816.26

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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.