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Finding the Fourth Proportional to 11,561.93, 17,342.99 and 9,109.86

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Solution

The fourth proportional to 11,561.93, 17,342.99 and 9,109.86 is: 13,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.93 : 17,342.99 = 9,109.86 : x
  2. Step 2: Convert to fraction form
    11,561.93/17,342.99 = 9,109.86/x
  3. Step 3: Cross multiply
    11,561.93x = 17,342.99 × 9,109.86
  4. Step 4: Simplify right side
    11,561.93x = 157,992,210.88
  5. Step 5: Solve for x
    x = 157,992,210.88/11,561.93
  6. Step 6: Final answer
    x = 13,664.86

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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.