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Finding the Fourth Proportional to 16,497.28, 24,745.92 and 8,709.76

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Solution

The fourth proportional to 16,497.28, 24,745.92 and 8,709.76 is: 13,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.28 : 24,745.92 = 8,709.76 : x
  2. Step 2: Convert to fraction form
    16,497.28/24,745.92 = 8,709.76/x
  3. Step 3: Cross multiply
    16,497.28x = 24,745.92 × 8,709.76
  4. Step 4: Simplify right side
    16,497.28x = 215,531,024.18
  5. Step 5: Solve for x
    x = 215,531,024.18/16,497.28
  6. Step 6: Final answer
    x = 13,064.64

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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.