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Finding the Fourth Proportional to 12,231.42, 16,863 and 9,721.86

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Solution

The fourth proportional to 12,231.42, 16,863 and 9,721.86 is: 13,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.42 : 16,863 = 9,721.86 : x
  2. Step 2: Convert to fraction form
    12,231.42/16,863 = 9,721.86/x
  3. Step 3: Cross multiply
    12,231.42x = 16,863 × 9,721.86
  4. Step 4: Simplify right side
    12,231.42x = 163,939,725.18
  5. Step 5: Solve for x
    x = 163,939,725.18/12,231.42
  6. Step 6: Final answer
    x = 13,403.16

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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.