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Finding the Fourth Proportional to 27,783.67, 38,341.07 and 15,847.21

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Solution

The fourth proportional to 27,783.67, 38,341.07 and 15,847.21 is: 21,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.67 : 38,341.07 = 15,847.21 : x
  2. Step 2: Convert to fraction form
    27,783.67/38,341.07 = 15,847.21/x
  3. Step 3: Cross multiply
    27,783.67x = 38,341.07 × 15,847.21
  4. Step 4: Simplify right side
    27,783.67x = 607,598,987.91
  5. Step 5: Solve for x
    x = 607,598,987.91/27,783.67
  6. Step 6: Final answer
    x = 21,868.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.