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Finding the Fourth Proportional to 17,041.72, 23,512.62 and 9,871.16

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Solution

The fourth proportional to 17,041.72, 23,512.62 and 9,871.16 is: 13,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,041.72 : 23,512.62 = 9,871.16 : x
  2. Step 2: Convert to fraction form
    17,041.72/23,512.62 = 9,871.16/x
  3. Step 3: Cross multiply
    17,041.72x = 23,512.62 × 9,871.16
  4. Step 4: Simplify right side
    17,041.72x = 232,096,834.04
  5. Step 5: Solve for x
    x = 232,096,834.04/17,041.72
  6. Step 6: Final answer
    x = 13,619.33

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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.