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Finding the Fourth Proportional to 16,494.56, 24,745.36 and 9,477.76

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Solution

The fourth proportional to 16,494.56, 24,745.36 and 9,477.76 is: 14,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.56 : 24,745.36 = 9,477.76 : x
  2. Step 2: Convert to fraction form
    16,494.56/24,745.36 = 9,477.76/x
  3. Step 3: Cross multiply
    16,494.56x = 24,745.36 × 9,477.76
  4. Step 4: Simplify right side
    16,494.56x = 234,530,583.19
  5. Step 5: Solve for x
    x = 234,530,583.19/16,494.56
  6. Step 6: Final answer
    x = 14,218.66

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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.