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Finding the Fourth Proportional to 25,911.64, 38,866.20 and 8,381.08

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Solution

The fourth proportional to 25,911.64, 38,866.20 and 8,381.08 is: 12,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,911.64 : 38,866.20 = 8,381.08 : x
  2. Step 2: Convert to fraction form
    25,911.64/38,866.20 = 8,381.08/x
  3. Step 3: Cross multiply
    25,911.64x = 38,866.20 × 8,381.08
  4. Step 4: Simplify right side
    25,911.64x = 325,740,731.50
  5. Step 5: Solve for x
    x = 325,740,731.50/25,911.64
  6. Step 6: Final answer
    x = 12,571.21

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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.