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Finding the Fourth Proportional to 14,074.92, 19,421.76 and 7,786.92

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Solution

The fourth proportional to 14,074.92, 19,421.76 and 7,786.92 is: 10,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.92 : 19,421.76 = 7,786.92 : x
  2. Step 2: Convert to fraction form
    14,074.92/19,421.76 = 7,786.92/x
  3. Step 3: Cross multiply
    14,074.92x = 19,421.76 × 7,786.92
  4. Step 4: Simplify right side
    14,074.92x = 151,235,691.38
  5. Step 5: Solve for x
    x = 151,235,691.38/14,074.92
  6. Step 6: Final answer
    x = 10,745.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.