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Finding the Fourth Proportional to 13,381.78, 20,061.70 and 5,057.06

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Solution

The fourth proportional to 13,381.78, 20,061.70 and 5,057.06 is: 7,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.78 : 20,061.70 = 5,057.06 : x
  2. Step 2: Convert to fraction form
    13,381.78/20,061.70 = 5,057.06/x
  3. Step 3: Cross multiply
    13,381.78x = 20,061.70 × 5,057.06
  4. Step 4: Simplify right side
    13,381.78x = 101,453,220.60
  5. Step 5: Solve for x
    x = 101,453,220.60/13,381.78
  6. Step 6: Final answer
    x = 7,581.44

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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.