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Finding the Fourth Proportional to 13,686.66, 20,532.15 and 4,450.50

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Solution

The fourth proportional to 13,686.66, 20,532.15 and 4,450.50 is: 6,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.66 : 20,532.15 = 4,450.50 : x
  2. Step 2: Convert to fraction form
    13,686.66/20,532.15 = 4,450.50/x
  3. Step 3: Cross multiply
    13,686.66x = 20,532.15 × 4,450.50
  4. Step 4: Simplify right side
    13,686.66x = 91,378,333.58
  5. Step 5: Solve for x
    x = 91,378,333.58/13,686.66
  6. Step 6: Final answer
    x = 6,676.45

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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.