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Finding the Fourth Proportional to 16,865, 25,297.50 and 9,476.36

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Solution

The fourth proportional to 16,865, 25,297.50 and 9,476.36 is: 14,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865 : 25,297.50 = 9,476.36 : x
  2. Step 2: Convert to fraction form
    16,865/25,297.50 = 9,476.36/x
  3. Step 3: Cross multiply
    16,865x = 25,297.50 × 9,476.36
  4. Step 4: Simplify right side
    16,865x = 239,728,217.10
  5. Step 5: Solve for x
    x = 239,728,217.10/16,865
  6. Step 6: Final answer
    x = 14,214.54

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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.