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Finding the Fourth Proportional to 12,915, 19,372.86 and 4,150.80

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Solution

The fourth proportional to 12,915, 19,372.86 and 4,150.80 is: 6,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915 : 19,372.86 = 4,150.80 : x
  2. Step 2: Convert to fraction form
    12,915/19,372.86 = 4,150.80/x
  3. Step 3: Cross multiply
    12,915x = 19,372.86 × 4,150.80
  4. Step 4: Simplify right side
    12,915x = 80,412,867.29
  5. Step 5: Solve for x
    x = 80,412,867.29/12,915
  6. Step 6: Final answer
    x = 6,226.32

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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.