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Finding the Fourth Proportional to 27,415.86, 41,130.96 and 9,645.80

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Solution

The fourth proportional to 27,415.86, 41,130.96 and 9,645.80 is: 14,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.86 : 41,130.96 = 9,645.80 : x
  2. Step 2: Convert to fraction form
    27,415.86/41,130.96 = 9,645.80/x
  3. Step 3: Cross multiply
    27,415.86x = 41,130.96 × 9,645.80
  4. Step 4: Simplify right side
    27,415.86x = 396,740,772.14
  5. Step 5: Solve for x
    x = 396,740,772.14/27,415.86
  6. Step 6: Final answer
    x = 14,471.22

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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.