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Finding the Fourth Proportional to 16,280.80, 22,466.64 and 9,208.48

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Solution

The fourth proportional to 16,280.80, 22,466.64 and 9,208.48 is: 12,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.80 : 22,466.64 = 9,208.48 : x
  2. Step 2: Convert to fraction form
    16,280.80/22,466.64 = 9,208.48/x
  3. Step 3: Cross multiply
    16,280.80x = 22,466.64 × 9,208.48
  4. Step 4: Simplify right side
    16,280.80x = 206,883,605.11
  5. Step 5: Solve for x
    x = 206,883,605.11/16,280.80
  6. Step 6: Final answer
    x = 12,707.21

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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.