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Finding the Fourth Proportional to 11,535.96, 17,205.44 and 9,792.43

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Solution

The fourth proportional to 11,535.96, 17,205.44 and 9,792.43 is: 14,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.96 : 17,205.44 = 9,792.43 : x
  2. Step 2: Convert to fraction form
    11,535.96/17,205.44 = 9,792.43/x
  3. Step 3: Cross multiply
    11,535.96x = 17,205.44 × 9,792.43
  4. Step 4: Simplify right side
    11,535.96x = 168,483,066.82
  5. Step 5: Solve for x
    x = 168,483,066.82/11,535.96
  6. Step 6: Final answer
    x = 14,605.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.