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Finding the Fourth Proportional to 13,670.08, 20,502.74 and 3,809.40

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Solution

The fourth proportional to 13,670.08, 20,502.74 and 3,809.40 is: 5,713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.08 : 20,502.74 = 3,809.40 : x
  2. Step 2: Convert to fraction form
    13,670.08/20,502.74 = 3,809.40/x
  3. Step 3: Cross multiply
    13,670.08x = 20,502.74 × 3,809.40
  4. Step 4: Simplify right side
    13,670.08x = 78,103,137.76
  5. Step 5: Solve for x
    x = 78,103,137.76/13,670.08
  6. Step 6: Final answer
    x = 5,713.44

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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.