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Finding the Fourth Proportional to 23,283.65, 32,137.49 and 14,789.86

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Solution

The fourth proportional to 23,283.65, 32,137.49 and 14,789.86 is: 20,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.65 : 32,137.49 = 14,789.86 : x
  2. Step 2: Convert to fraction form
    23,283.65/32,137.49 = 14,789.86/x
  3. Step 3: Cross multiply
    23,283.65x = 32,137.49 × 14,789.86
  4. Step 4: Simplify right side
    23,283.65x = 475,308,934.48
  5. Step 5: Solve for x
    x = 475,308,934.48/23,283.65
  6. Step 6: Final answer
    x = 20,413.85

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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.