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Finding the Fourth Proportional to 13,677.58, 20,519.13 and 4,319.06

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Solution

The fourth proportional to 13,677.58, 20,519.13 and 4,319.06 is: 6,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.58 : 20,519.13 = 4,319.06 : x
  2. Step 2: Convert to fraction form
    13,677.58/20,519.13 = 4,319.06/x
  3. Step 3: Cross multiply
    13,677.58x = 20,519.13 × 4,319.06
  4. Step 4: Simplify right side
    13,677.58x = 88,623,353.62
  5. Step 5: Solve for x
    x = 88,623,353.62/13,677.58
  6. Step 6: Final answer
    x = 6,479.46

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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.