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Finding the Fourth Proportional to 25,336.32, 38,003.84 and 6,867.84

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Solution

The fourth proportional to 25,336.32, 38,003.84 and 6,867.84 is: 10,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,336.32 : 38,003.84 = 6,867.84 : x
  2. Step 2: Convert to fraction form
    25,336.32/38,003.84 = 6,867.84/x
  3. Step 3: Cross multiply
    25,336.32x = 38,003.84 × 6,867.84
  4. Step 4: Simplify right side
    25,336.32x = 261,004,292.51
  5. Step 5: Solve for x
    x = 261,004,292.51/25,336.32
  6. Step 6: Final answer
    x = 10,301.59

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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.