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Finding the Fourth Proportional to 16,280.48, 22,466 and 9,109.17

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Solution

The fourth proportional to 16,280.48, 22,466 and 9,109.17 is: 12,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.48 : 22,466 = 9,109.17 : x
  2. Step 2: Convert to fraction form
    16,280.48/22,466 = 9,109.17/x
  3. Step 3: Cross multiply
    16,280.48x = 22,466 × 9,109.17
  4. Step 4: Simplify right side
    16,280.48x = 204,646,613.22
  5. Step 5: Solve for x
    x = 204,646,613.22/16,280.48
  6. Step 6: Final answer
    x = 12,570.06

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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.