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Finding the Fourth Proportional to 16,494.87, 22,762.99 and 8,941.22

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Solution

The fourth proportional to 16,494.87, 22,762.99 and 8,941.22 is: 12,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.87 : 22,762.99 = 8,941.22 : x
  2. Step 2: Convert to fraction form
    16,494.87/22,762.99 = 8,941.22/x
  3. Step 3: Cross multiply
    16,494.87x = 22,762.99 × 8,941.22
  4. Step 4: Simplify right side
    16,494.87x = 203,528,884.17
  5. Step 5: Solve for x
    x = 203,528,884.17/16,494.87
  6. Step 6: Final answer
    x = 12,338.92

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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.