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Finding the Fourth Proportional to 13,406.16, 20,102.74 and 7,861.30

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Solution

The fourth proportional to 13,406.16, 20,102.74 and 7,861.30 is: 11,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.16 : 20,102.74 = 7,861.30 : x
  2. Step 2: Convert to fraction form
    13,406.16/20,102.74 = 7,861.30/x
  3. Step 3: Cross multiply
    13,406.16x = 20,102.74 × 7,861.30
  4. Step 4: Simplify right side
    13,406.16x = 158,033,669.96
  5. Step 5: Solve for x
    x = 158,033,669.96/13,406.16
  6. Step 6: Final answer
    x = 11,788.14

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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.