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Finding the Fourth Proportional to 14,381.67, 21,563.57 and 6,057.40

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Solution

The fourth proportional to 14,381.67, 21,563.57 and 6,057.40 is: 9,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.67 : 21,563.57 = 6,057.40 : x
  2. Step 2: Convert to fraction form
    14,381.67/21,563.57 = 6,057.40/x
  3. Step 3: Cross multiply
    14,381.67x = 21,563.57 × 6,057.40
  4. Step 4: Simplify right side
    14,381.67x = 130,619,168.92
  5. Step 5: Solve for x
    x = 130,619,168.92/14,381.67
  6. Step 6: Final answer
    x = 9,082.34

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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.