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Finding the Fourth Proportional to 17,214.12, 23,754.77 and 9,661.07

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Solution

The fourth proportional to 17,214.12, 23,754.77 and 9,661.07 is: 13,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.12 : 23,754.77 = 9,661.07 : x
  2. Step 2: Convert to fraction form
    17,214.12/23,754.77 = 9,661.07/x
  3. Step 3: Cross multiply
    17,214.12x = 23,754.77 × 9,661.07
  4. Step 4: Simplify right side
    17,214.12x = 229,496,543.11
  5. Step 5: Solve for x
    x = 229,496,543.11/17,214.12
  6. Step 6: Final answer
    x = 13,331.88

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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.