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Finding the Fourth Proportional to 15,872.76, 23,815.62 and 8,475.30

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Solution

The fourth proportional to 15,872.76, 23,815.62 and 8,475.30 is: 12,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.76 : 23,815.62 = 8,475.30 : x
  2. Step 2: Convert to fraction form
    15,872.76/23,815.62 = 8,475.30/x
  3. Step 3: Cross multiply
    15,872.76x = 23,815.62 × 8,475.30
  4. Step 4: Simplify right side
    15,872.76x = 201,844,524.19
  5. Step 5: Solve for x
    x = 201,844,524.19/15,872.76
  6. Step 6: Final answer
    x = 12,716.41

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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.