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Finding the Fourth Proportional to 14,706.43, 22,047.23 and 6,380.17

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Solution

The fourth proportional to 14,706.43, 22,047.23 and 6,380.17 is: 9,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.43 : 22,047.23 = 6,380.17 : x
  2. Step 2: Convert to fraction form
    14,706.43/22,047.23 = 6,380.17/x
  3. Step 3: Cross multiply
    14,706.43x = 22,047.23 × 6,380.17
  4. Step 4: Simplify right side
    14,706.43x = 140,665,075.43
  5. Step 5: Solve for x
    x = 140,665,075.43/14,706.43
  6. Step 6: Final answer
    x = 9,564.87

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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.