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Finding the Fourth Proportional to 17,565.93, 24,224.81 and 11,513.97

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Solution

The fourth proportional to 17,565.93, 24,224.81 and 11,513.97 is: 15,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.93 : 24,224.81 = 11,513.97 : x
  2. Step 2: Convert to fraction form
    17,565.93/24,224.81 = 11,513.97/x
  3. Step 3: Cross multiply
    17,565.93x = 24,224.81 × 11,513.97
  4. Step 4: Simplify right side
    17,565.93x = 278,923,678.03
  5. Step 5: Solve for x
    x = 278,923,678.03/17,565.93
  6. Step 6: Final answer
    x = 15,878.67

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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.