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Finding the Fourth Proportional to 16,833.82, 23,229.74 and 9,280.13

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Solution

The fourth proportional to 16,833.82, 23,229.74 and 9,280.13 is: 12,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.82 : 23,229.74 = 9,280.13 : x
  2. Step 2: Convert to fraction form
    16,833.82/23,229.74 = 9,280.13/x
  3. Step 3: Cross multiply
    16,833.82x = 23,229.74 × 9,280.13
  4. Step 4: Simplify right side
    16,833.82x = 215,575,018.74
  5. Step 5: Solve for x
    x = 215,575,018.74/16,833.82
  6. Step 6: Final answer
    x = 12,806.07

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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.