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Finding the Fourth Proportional to 13,441.08, 20,159.46 and 4,207.08

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Solution

The fourth proportional to 13,441.08, 20,159.46 and 4,207.08 is: 6,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.08 : 20,159.46 = 4,207.08 : x
  2. Step 2: Convert to fraction form
    13,441.08/20,159.46 = 4,207.08/x
  3. Step 3: Cross multiply
    13,441.08x = 20,159.46 × 4,207.08
  4. Step 4: Simplify right side
    13,441.08x = 84,812,460.98
  5. Step 5: Solve for x
    x = 84,812,460.98/13,441.08
  6. Step 6: Final answer
    x = 6,309.94

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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.