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Finding the Fourth Proportional to 15,170.40, 22,755.42 and 6,844.50

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Solution

The fourth proportional to 15,170.40, 22,755.42 and 6,844.50 is: 10,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170.40 : 22,755.42 = 6,844.50 : x
  2. Step 2: Convert to fraction form
    15,170.40/22,755.42 = 6,844.50/x
  3. Step 3: Cross multiply
    15,170.40x = 22,755.42 × 6,844.50
  4. Step 4: Simplify right side
    15,170.40x = 155,749,472.19
  5. Step 5: Solve for x
    x = 155,749,472.19/15,170.40
  6. Step 6: Final answer
    x = 10,266.67

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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.