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Finding the Fourth Proportional to 16,752, 25,128 and 6,896.64

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Solution

The fourth proportional to 16,752, 25,128 and 6,896.64 is: 10,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,752 : 25,128 = 6,896.64 : x
  2. Step 2: Convert to fraction form
    16,752/25,128 = 6,896.64/x
  3. Step 3: Cross multiply
    16,752x = 25,128 × 6,896.64
  4. Step 4: Simplify right side
    16,752x = 173,298,769.92
  5. Step 5: Solve for x
    x = 173,298,769.92/16,752
  6. Step 6: Final answer
    x = 10,344.96

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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.