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Finding the Fourth Proportional to 17,287.77, 23,857.43 and 10,214.18

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Solution

The fourth proportional to 17,287.77, 23,857.43 and 10,214.18 is: 14,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.77 : 23,857.43 = 10,214.18 : x
  2. Step 2: Convert to fraction form
    17,287.77/23,857.43 = 10,214.18/x
  3. Step 3: Cross multiply
    17,287.77x = 23,857.43 × 10,214.18
  4. Step 4: Simplify right side
    17,287.77x = 243,684,084.36
  5. Step 5: Solve for x
    x = 243,684,084.36/17,287.77
  6. Step 6: Final answer
    x = 14,095.75

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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.