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Finding the Fourth Proportional to 16,466.68, 22,724.16 and 9,393.46

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Solution

The fourth proportional to 16,466.68, 22,724.16 and 9,393.46 is: 12,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.68 : 22,724.16 = 9,393.46 : x
  2. Step 2: Convert to fraction form
    16,466.68/22,724.16 = 9,393.46/x
  3. Step 3: Cross multiply
    16,466.68x = 22,724.16 × 9,393.46
  4. Step 4: Simplify right side
    16,466.68x = 213,458,487.99
  5. Step 5: Solve for x
    x = 213,458,487.99/16,466.68
  6. Step 6: Final answer
    x = 12,963.06

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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.