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Finding the Fourth Proportional to 16,464.78, 22,706.37 and 14,083.74

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Solution

The fourth proportional to 16,464.78, 22,706.37 and 14,083.74 is: 19,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.78 : 22,706.37 = 14,083.74 : x
  2. Step 2: Convert to fraction form
    16,464.78/22,706.37 = 14,083.74/x
  3. Step 3: Cross multiply
    16,464.78x = 22,706.37 × 14,083.74
  4. Step 4: Simplify right side
    16,464.78x = 319,790,611.42
  5. Step 5: Solve for x
    x = 319,790,611.42/16,464.78
  6. Step 6: Final answer
    x = 19,422.71

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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.