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Finding the Fourth Proportional to 16,792.24, 25,153.78 and 9,850

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Solution

The fourth proportional to 16,792.24, 25,153.78 and 9,850 is: 14,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,792.24 : 25,153.78 = 9,850 : x
  2. Step 2: Convert to fraction form
    16,792.24/25,153.78 = 9,850/x
  3. Step 3: Cross multiply
    16,792.24x = 25,153.78 × 9,850
  4. Step 4: Simplify right side
    16,792.24x = 247,764,733
  5. Step 5: Solve for x
    x = 247,764,733/16,792.24
  6. Step 6: Final answer
    x = 14,754.72

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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.