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Finding the Fourth Proportional to 13,873.96, 20,809.59 and 7,631.92

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Solution

The fourth proportional to 13,873.96, 20,809.59 and 7,631.92 is: 11,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.96 : 20,809.59 = 7,631.92 : x
  2. Step 2: Convert to fraction form
    13,873.96/20,809.59 = 7,631.92/x
  3. Step 3: Cross multiply
    13,873.96x = 20,809.59 × 7,631.92
  4. Step 4: Simplify right side
    13,873.96x = 158,817,126.11
  5. Step 5: Solve for x
    x = 158,817,126.11/13,873.96
  6. Step 6: Final answer
    x = 11,447.14

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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.