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Finding the Fourth Proportional to 25,821.29, 38,733.69 and 8,290.05

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Solution

The fourth proportional to 25,821.29, 38,733.69 and 8,290.05 is: 12,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821.29 : 38,733.69 = 8,290.05 : x
  2. Step 2: Convert to fraction form
    25,821.29/38,733.69 = 8,290.05/x
  3. Step 3: Cross multiply
    25,821.29x = 38,733.69 × 8,290.05
  4. Step 4: Simplify right side
    25,821.29x = 321,104,226.78
  5. Step 5: Solve for x
    x = 321,104,226.78/25,821.29
  6. Step 6: Final answer
    x = 12,435.64

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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.