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Finding the Fourth Proportional to 27,783.77, 38,341.62 and 15,846.80

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Solution

The fourth proportional to 27,783.77, 38,341.62 and 15,846.80 is: 21,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.77 : 38,341.62 = 15,846.80 : x
  2. Step 2: Convert to fraction form
    27,783.77/38,341.62 = 15,846.80/x
  3. Step 3: Cross multiply
    27,783.77x = 38,341.62 × 15,846.80
  4. Step 4: Simplify right side
    27,783.77x = 607,591,983.82
  5. Step 5: Solve for x
    x = 607,591,983.82/27,783.77
  6. Step 6: Final answer
    x = 21,868.59

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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.