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Finding the Fourth Proportional to 13,661.78, 20,493.06 and 5,341.46

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Solution

The fourth proportional to 13,661.78, 20,493.06 and 5,341.46 is: 8,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.78 : 20,493.06 = 5,341.46 : x
  2. Step 2: Convert to fraction form
    13,661.78/20,493.06 = 5,341.46/x
  3. Step 3: Cross multiply
    13,661.78x = 20,493.06 × 5,341.46
  4. Step 4: Simplify right side
    13,661.78x = 109,462,860.27
  5. Step 5: Solve for x
    x = 109,462,860.27/13,661.78
  6. Step 6: Final answer
    x = 8,012.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.