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Finding the Fourth Proportional to 16,041.76, 24,046.24 and 7,709.76

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Solution

The fourth proportional to 16,041.76, 24,046.24 and 7,709.76 is: 11,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.76 : 24,046.24 = 7,709.76 : x
  2. Step 2: Convert to fraction form
    16,041.76/24,046.24 = 7,709.76/x
  3. Step 3: Cross multiply
    16,041.76x = 24,046.24 × 7,709.76
  4. Step 4: Simplify right side
    16,041.76x = 185,390,739.30
  5. Step 5: Solve for x
    x = 185,390,739.30/16,041.76
  6. Step 6: Final answer
    x = 11,556.76

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1.5x scale

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.