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Finding the Fourth Proportional to 11,645.69, 17,446.66 and 9,035.87

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Solution

The fourth proportional to 11,645.69, 17,446.66 and 9,035.87 is: 13,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.69 : 17,446.66 = 9,035.87 : x
  2. Step 2: Convert to fraction form
    11,645.69/17,446.66 = 9,035.87/x
  3. Step 3: Cross multiply
    11,645.69x = 17,446.66 × 9,035.87
  4. Step 4: Simplify right side
    11,645.69x = 157,645,641.87
  5. Step 5: Solve for x
    x = 157,645,641.87/11,645.69
  6. Step 6: Final answer
    x = 13,536.83

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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.