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Finding the Fourth Proportional to 17,857.17, 24,643.12 and 10,305.07

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Solution

The fourth proportional to 17,857.17, 24,643.12 and 10,305.07 is: 14,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.17 : 24,643.12 = 10,305.07 : x
  2. Step 2: Convert to fraction form
    17,857.17/24,643.12 = 10,305.07/x
  3. Step 3: Cross multiply
    17,857.17x = 24,643.12 × 10,305.07
  4. Step 4: Simplify right side
    17,857.17x = 253,948,989.25
  5. Step 5: Solve for x
    x = 253,948,989.25/17,857.17
  6. Step 6: Final answer
    x = 14,221.12

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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.