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Finding the Fourth Proportional to 27,783.78, 38,341.22 and 15,847.31

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Solution

The fourth proportional to 27,783.78, 38,341.22 and 15,847.31 is: 21,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.78 : 38,341.22 = 15,847.31 : x
  2. Step 2: Convert to fraction form
    27,783.78/38,341.22 = 15,847.31/x
  3. Step 3: Cross multiply
    27,783.78x = 38,341.22 × 15,847.31
  4. Step 4: Simplify right side
    27,783.78x = 607,605,199.12
  5. Step 5: Solve for x
    x = 607,605,199.12/27,783.78
  6. Step 6: Final answer
    x = 21,869.06

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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.