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Finding the Fourth Proportional to 13,705.18, 20,498.36 and 8,069.42

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Solution

The fourth proportional to 13,705.18, 20,498.36 and 8,069.42 is: 12,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.18 : 20,498.36 = 8,069.42 : x
  2. Step 2: Convert to fraction form
    13,705.18/20,498.36 = 8,069.42/x
  3. Step 3: Cross multiply
    13,705.18x = 20,498.36 × 8,069.42
  4. Step 4: Simplify right side
    13,705.18x = 165,409,887.05
  5. Step 5: Solve for x
    x = 165,409,887.05/13,705.18
  6. Step 6: Final answer
    x = 12,069.15

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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.