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Finding the Fourth Proportional to 16,195.58, 24,287 and 7,873.16

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Solution

The fourth proportional to 16,195.58, 24,287 and 7,873.16 is: 11,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.58 : 24,287 = 7,873.16 : x
  2. Step 2: Convert to fraction form
    16,195.58/24,287 = 7,873.16/x
  3. Step 3: Cross multiply
    16,195.58x = 24,287 × 7,873.16
  4. Step 4: Simplify right side
    16,195.58x = 191,215,436.92
  5. Step 5: Solve for x
    x = 191,215,436.92/16,195.58
  6. Step 6: Final answer
    x = 11,806.64

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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.