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Finding the Fourth Proportional to 22,241.70, 33,373.86 and 9,758.48

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Solution

The fourth proportional to 22,241.70, 33,373.86 and 9,758.48 is: 14,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.70 : 33,373.86 = 9,758.48 : x
  2. Step 2: Convert to fraction form
    22,241.70/33,373.86 = 9,758.48/x
  3. Step 3: Cross multiply
    22,241.70x = 33,373.86 × 9,758.48
  4. Step 4: Simplify right side
    22,241.70x = 325,677,978.46
  5. Step 5: Solve for x
    x = 325,677,978.46/22,241.70
  6. Step 6: Final answer
    x = 14,642.67

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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.