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Finding the Fourth Proportional to 17,584.13, 24,266.11 and 9,626.84

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Solution

The fourth proportional to 17,584.13, 24,266.11 and 9,626.84 is: 13,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.13 : 24,266.11 = 9,626.84 : x
  2. Step 2: Convert to fraction form
    17,584.13/24,266.11 = 9,626.84/x
  3. Step 3: Cross multiply
    17,584.13x = 24,266.11 × 9,626.84
  4. Step 4: Simplify right side
    17,584.13x = 233,605,812.99
  5. Step 5: Solve for x
    x = 233,605,812.99/17,584.13
  6. Step 6: Final answer
    x = 13,285.04

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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.