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Finding the Fourth Proportional to 17,900.18, 26,857.83 and 9,578

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Solution

The fourth proportional to 17,900.18, 26,857.83 and 9,578 is: 14,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900.18 : 26,857.83 = 9,578 : x
  2. Step 2: Convert to fraction form
    17,900.18/26,857.83 = 9,578/x
  3. Step 3: Cross multiply
    17,900.18x = 26,857.83 × 9,578
  4. Step 4: Simplify right side
    17,900.18x = 257,244,295.74
  5. Step 5: Solve for x
    x = 257,244,295.74/17,900.18
  6. Step 6: Final answer
    x = 14,371.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.