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Finding the Fourth Proportional to 11,896.29, 17,802.59 and 9,550.53

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Solution

The fourth proportional to 11,896.29, 17,802.59 and 9,550.53 is: 14,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.29 : 17,802.59 = 9,550.53 : x
  2. Step 2: Convert to fraction form
    11,896.29/17,802.59 = 9,550.53/x
  3. Step 3: Cross multiply
    11,896.29x = 17,802.59 × 9,550.53
  4. Step 4: Simplify right side
    11,896.29x = 170,024,122.12
  5. Step 5: Solve for x
    x = 170,024,122.12/11,896.29
  6. Step 6: Final answer
    x = 14,292.20

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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.