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Finding the Fourth Proportional to 17,110.51, 23,611.75 and 9,557.71

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Solution

The fourth proportional to 17,110.51, 23,611.75 and 9,557.71 is: 13,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,110.51 : 23,611.75 = 9,557.71 : x
  2. Step 2: Convert to fraction form
    17,110.51/23,611.75 = 9,557.71/x
  3. Step 3: Cross multiply
    17,110.51x = 23,611.75 × 9,557.71
  4. Step 4: Simplify right side
    17,110.51x = 225,674,259.09
  5. Step 5: Solve for x
    x = 225,674,259.09/17,110.51
  6. Step 6: Final answer
    x = 13,189.22

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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.