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Finding the Fourth Proportional to 13,670.40, 20,505.60 and 3,809.70

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Solution

The fourth proportional to 13,670.40, 20,505.60 and 3,809.70 is: 5,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.40 : 20,505.60 = 3,809.70 : x
  2. Step 2: Convert to fraction form
    13,670.40/20,505.60 = 3,809.70/x
  3. Step 3: Cross multiply
    13,670.40x = 20,505.60 × 3,809.70
  4. Step 4: Simplify right side
    13,670.40x = 78,120,184.32
  5. Step 5: Solve for x
    x = 78,120,184.32/13,670.40
  6. Step 6: Final answer
    x = 5,714.55

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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.