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Finding the Fourth Proportional to 14,105.88, 19,471.17 and 9,626.43

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Solution

The fourth proportional to 14,105.88, 19,471.17 and 9,626.43 is: 13,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.88 : 19,471.17 = 9,626.43 : x
  2. Step 2: Convert to fraction form
    14,105.88/19,471.17 = 9,626.43/x
  3. Step 3: Cross multiply
    14,105.88x = 19,471.17 × 9,626.43
  4. Step 4: Simplify right side
    14,105.88x = 187,437,855.02
  5. Step 5: Solve for x
    x = 187,437,855.02/14,105.88
  6. Step 6: Final answer
    x = 13,287.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.