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Finding the Fourth Proportional to 23,881.20, 35,822.10 and 7,241.40

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Solution

The fourth proportional to 23,881.20, 35,822.10 and 7,241.40 is: 10,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,881.20 : 35,822.10 = 7,241.40 : x
  2. Step 2: Convert to fraction form
    23,881.20/35,822.10 = 7,241.40/x
  3. Step 3: Cross multiply
    23,881.20x = 35,822.10 × 7,241.40
  4. Step 4: Simplify right side
    23,881.20x = 259,402,154.94
  5. Step 5: Solve for x
    x = 259,402,154.94/23,881.20
  6. Step 6: Final answer
    x = 10,862.19

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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.