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Finding the Fourth Proportional to 13,908.74, 20,865.06 and 4,048.74

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Solution

The fourth proportional to 13,908.74, 20,865.06 and 4,048.74 is: 6,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.74 : 20,865.06 = 4,048.74 : x
  2. Step 2: Convert to fraction form
    13,908.74/20,865.06 = 4,048.74/x
  3. Step 3: Cross multiply
    13,908.74x = 20,865.06 × 4,048.74
  4. Step 4: Simplify right side
    13,908.74x = 84,477,203.02
  5. Step 5: Solve for x
    x = 84,477,203.02/13,908.74
  6. Step 6: Final answer
    x = 6,073.68

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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.