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Finding the Fourth Proportional to 17,382.88, 23,988.56 and 10,213.09

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Solution

The fourth proportional to 17,382.88, 23,988.56 and 10,213.09 is: 14,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.88 : 23,988.56 = 10,213.09 : x
  2. Step 2: Convert to fraction form
    17,382.88/23,988.56 = 10,213.09/x
  3. Step 3: Cross multiply
    17,382.88x = 23,988.56 × 10,213.09
  4. Step 4: Simplify right side
    17,382.88x = 244,997,322.25
  5. Step 5: Solve for x
    x = 244,997,322.25/17,382.88
  6. Step 6: Final answer
    x = 14,094.17

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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.