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Finding the Fourth Proportional to 16,896, 25,347.84 and 5,952

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Solution

The fourth proportional to 16,896, 25,347.84 and 5,952 is: 8,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896 : 25,347.84 = 5,952 : x
  2. Step 2: Convert to fraction form
    16,896/25,347.84 = 5,952/x
  3. Step 3: Cross multiply
    16,896x = 25,347.84 × 5,952
  4. Step 4: Simplify right side
    16,896x = 150,870,343.68
  5. Step 5: Solve for x
    x = 150,870,343.68/16,896
  6. Step 6: Final answer
    x = 8,929.35

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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.