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Finding the Fourth Proportional to 13,579.58, 20,337.78 and 13,205.88

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Solution

The fourth proportional to 13,579.58, 20,337.78 and 13,205.88 is: 19,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,579.58 : 20,337.78 = 13,205.88 : x
  2. Step 2: Convert to fraction form
    13,579.58/20,337.78 = 13,205.88/x
  3. Step 3: Cross multiply
    13,579.58x = 20,337.78 × 13,205.88
  4. Step 4: Simplify right side
    13,579.58x = 268,578,282.15
  5. Step 5: Solve for x
    x = 268,578,282.15/13,579.58
  6. Step 6: Final answer
    x = 19,778.10

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