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Finding the Fourth Proportional to 22,241.31, 33,373.29 and 9,758.10

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Solution

The fourth proportional to 22,241.31, 33,373.29 and 9,758.10 is: 14,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.31 : 33,373.29 = 9,758.10 : x
  2. Step 2: Convert to fraction form
    22,241.31/33,373.29 = 9,758.10/x
  3. Step 3: Cross multiply
    22,241.31x = 33,373.29 × 9,758.10
  4. Step 4: Simplify right side
    22,241.31x = 325,659,901.15
  5. Step 5: Solve for x
    x = 325,659,901.15/22,241.31
  6. Step 6: Final answer
    x = 14,642.12

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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.