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Finding the Fourth Proportional to 11,863.55, 16,374.20 and 9,872.16

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Solution

The fourth proportional to 11,863.55, 16,374.20 and 9,872.16 is: 13,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.55 : 16,374.20 = 9,872.16 : x
  2. Step 2: Convert to fraction form
    11,863.55/16,374.20 = 9,872.16/x
  3. Step 3: Cross multiply
    11,863.55x = 16,374.20 × 9,872.16
  4. Step 4: Simplify right side
    11,863.55x = 161,648,672.91
  5. Step 5: Solve for x
    x = 161,648,672.91/11,863.55
  6. Step 6: Final answer
    x = 13,625.66

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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.