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Finding the Fourth Proportional to 27,354.47, 37,747.01 and 16,022.50

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Solution

The fourth proportional to 27,354.47, 37,747.01 and 16,022.50 is: 22,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354.47 : 37,747.01 = 16,022.50 : x
  2. Step 2: Convert to fraction form
    27,354.47/37,747.01 = 16,022.50/x
  3. Step 3: Cross multiply
    27,354.47x = 37,747.01 × 16,022.50
  4. Step 4: Simplify right side
    27,354.47x = 604,801,413.41
  5. Step 5: Solve for x
    x = 604,801,413.41/27,354.47
  6. Step 6: Final answer
    x = 22,109.79

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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.