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Finding the Fourth Proportional to 27,738.86, 41,587.50 and 9,007.70

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Solution

The fourth proportional to 27,738.86, 41,587.50 and 9,007.70 is: 13,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.86 : 41,587.50 = 9,007.70 : x
  2. Step 2: Convert to fraction form
    27,738.86/41,587.50 = 9,007.70/x
  3. Step 3: Cross multiply
    27,738.86x = 41,587.50 × 9,007.70
  4. Step 4: Simplify right side
    27,738.86x = 374,607,723.75
  5. Step 5: Solve for x
    x = 374,607,723.75/27,738.86
  6. Step 6: Final answer
    x = 13,504.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.