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Finding the Fourth Proportional to 13,421.60, 18,518.86 and 8,116.30

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Solution

The fourth proportional to 13,421.60, 18,518.86 and 8,116.30 is: 11,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.60 : 18,518.86 = 8,116.30 : x
  2. Step 2: Convert to fraction form
    13,421.60/18,518.86 = 8,116.30/x
  3. Step 3: Cross multiply
    13,421.60x = 18,518.86 × 8,116.30
  4. Step 4: Simplify right side
    13,421.60x = 150,304,656.71
  5. Step 5: Solve for x
    x = 150,304,656.71/13,421.60
  6. Step 6: Final answer
    x = 11,198.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.