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Finding the Fourth Proportional to 27,783.57, 38,340.90 and 15,208.32

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Solution

The fourth proportional to 27,783.57, 38,340.90 and 15,208.32 is: 20,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.57 : 38,340.90 = 15,208.32 : x
  2. Step 2: Convert to fraction form
    27,783.57/38,340.90 = 15,208.32/x
  3. Step 3: Cross multiply
    27,783.57x = 38,340.90 × 15,208.32
  4. Step 4: Simplify right side
    27,783.57x = 583,100,676.29
  5. Step 5: Solve for x
    x = 583,100,676.29/27,783.57
  6. Step 6: Final answer
    x = 20,987.25

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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.