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Finding the Fourth Proportional to 11,827.98, 16,314.36 and 9,589.92

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Solution

The fourth proportional to 11,827.98, 16,314.36 and 9,589.92 is: 13,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.98 : 16,314.36 = 9,589.92 : x
  2. Step 2: Convert to fraction form
    11,827.98/16,314.36 = 9,589.92/x
  3. Step 3: Cross multiply
    11,827.98x = 16,314.36 × 9,589.92
  4. Step 4: Simplify right side
    11,827.98x = 156,453,407.25
  5. Step 5: Solve for x
    x = 156,453,407.25/11,827.98
  6. Step 6: Final answer
    x = 13,227.40

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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.