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Finding the Fourth Proportional to 22,626.19, 33,937.90 and 10,142.86

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Solution

The fourth proportional to 22,626.19, 33,937.90 and 10,142.86 is: 15,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.19 : 33,937.90 = 10,142.86 : x
  2. Step 2: Convert to fraction form
    22,626.19/33,937.90 = 10,142.86/x
  3. Step 3: Cross multiply
    22,626.19x = 33,937.90 × 10,142.86
  4. Step 4: Simplify right side
    22,626.19x = 344,227,368.39
  5. Step 5: Solve for x
    x = 344,227,368.39/22,626.19
  6. Step 6: Final answer
    x = 15,213.67

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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.