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Finding the Fourth Proportional to 25,754.92, 38,607.72 and 8,213.38

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Solution

The fourth proportional to 25,754.92, 38,607.72 and 8,213.38 is: 12,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.92 : 38,607.72 = 8,213.38 : x
  2. Step 2: Convert to fraction form
    25,754.92/38,607.72 = 8,213.38/x
  3. Step 3: Cross multiply
    25,754.92x = 38,607.72 × 8,213.38
  4. Step 4: Simplify right side
    25,754.92x = 317,099,875.29
  5. Step 5: Solve for x
    x = 317,099,875.29/25,754.92
  6. Step 6: Final answer
    x = 12,312.21

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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.