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Finding the Fourth Proportional to 25,832.72, 38,764.02 and 10,838.49

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Solution

The fourth proportional to 25,832.72, 38,764.02 and 10,838.49 is: 16,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,832.72 : 38,764.02 = 10,838.49 : x
  2. Step 2: Convert to fraction form
    25,832.72/38,764.02 = 10,838.49/x
  3. Step 3: Cross multiply
    25,832.72x = 38,764.02 × 10,838.49
  4. Step 4: Simplify right side
    25,832.72x = 420,143,443.13
  5. Step 5: Solve for x
    x = 420,143,443.13/25,832.72
  6. Step 6: Final answer
    x = 16,264.01

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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.