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Finding the Fourth Proportional to 16,466.80, 22,724.12 and 9,393.16

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Solution

The fourth proportional to 16,466.80, 22,724.12 and 9,393.16 is: 12,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.80 : 22,724.12 = 9,393.16 : x
  2. Step 2: Convert to fraction form
    16,466.80/22,724.12 = 9,393.16/x
  3. Step 3: Cross multiply
    16,466.80x = 22,724.12 × 9,393.16
  4. Step 4: Simplify right side
    16,466.80x = 213,451,295.02
  5. Step 5: Solve for x
    x = 213,451,295.02/16,466.80
  6. Step 6: Final answer
    x = 12,962.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.