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Finding the Fourth Proportional to 16,494.31, 22,766.34 and 9,424.90

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Solution

The fourth proportional to 16,494.31, 22,766.34 and 9,424.90 is: 13,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.31 : 22,766.34 = 9,424.90 : x
  2. Step 2: Convert to fraction form
    16,494.31/22,766.34 = 9,424.90/x
  3. Step 3: Cross multiply
    16,494.31x = 22,766.34 × 9,424.90
  4. Step 4: Simplify right side
    16,494.31x = 214,570,477.87
  5. Step 5: Solve for x
    x = 214,570,477.87/16,494.31
  6. Step 6: Final answer
    x = 13,008.76

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1.5x scale

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.