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Finding the Fourth Proportional to 15,284.80, 22,933.79 and 8,269.75

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Solution

The fourth proportional to 15,284.80, 22,933.79 and 8,269.75 is: 12,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284.80 : 22,933.79 = 8,269.75 : x
  2. Step 2: Convert to fraction form
    15,284.80/22,933.79 = 8,269.75/x
  3. Step 3: Cross multiply
    15,284.80x = 22,933.79 × 8,269.75
  4. Step 4: Simplify right side
    15,284.80x = 189,656,611.17
  5. Step 5: Solve for x
    x = 189,656,611.17/15,284.80
  6. Step 6: Final answer
    x = 12,408.19

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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.