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Finding the Fourth Proportional to 17,838.54, 24,614.56 and 10,284.28

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Solution

The fourth proportional to 17,838.54, 24,614.56 and 10,284.28 is: 14,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.54 : 24,614.56 = 10,284.28 : x
  2. Step 2: Convert to fraction form
    17,838.54/24,614.56 = 10,284.28/x
  3. Step 3: Cross multiply
    17,838.54x = 24,614.56 × 10,284.28
  4. Step 4: Simplify right side
    17,838.54x = 253,143,027.12
  5. Step 5: Solve for x
    x = 253,143,027.12/17,838.54
  6. Step 6: Final answer
    x = 14,190.79

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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.