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Finding the Fourth Proportional to 13,686.50, 20,529.86 and 4,801.41

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Solution

The fourth proportional to 13,686.50, 20,529.86 and 4,801.41 is: 7,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.50 : 20,529.86 = 4,801.41 : x
  2. Step 2: Convert to fraction form
    13,686.50/20,529.86 = 4,801.41/x
  3. Step 3: Cross multiply
    13,686.50x = 20,529.86 × 4,801.41
  4. Step 4: Simplify right side
    13,686.50x = 98,572,251.10
  5. Step 5: Solve for x
    x = 98,572,251.10/13,686.50
  6. Step 6: Final answer
    x = 7,202.15

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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.