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Finding the Fourth Proportional to 23,193.71, 32,006.93 and 14,115.79

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Solution

The fourth proportional to 23,193.71, 32,006.93 and 14,115.79 is: 19,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.71 : 32,006.93 = 14,115.79 : x
  2. Step 2: Convert to fraction form
    23,193.71/32,006.93 = 14,115.79/x
  3. Step 3: Cross multiply
    23,193.71x = 32,006.93 × 14,115.79
  4. Step 4: Simplify right side
    23,193.71x = 451,802,951.83
  5. Step 5: Solve for x
    x = 451,802,951.83/23,193.71
  6. Step 6: Final answer
    x = 19,479.54

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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.