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Finding the Fourth Proportional to 13,399.08, 20,096.01 and 9,856.14

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Solution

The fourth proportional to 13,399.08, 20,096.01 and 9,856.14 is: 14,782.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.08 : 20,096.01 = 9,856.14 : x
  2. Step 2: Convert to fraction form
    13,399.08/20,096.01 = 9,856.14/x
  3. Step 3: Cross multiply
    13,399.08x = 20,096.01 × 9,856.14
  4. Step 4: Simplify right side
    13,399.08x = 198,069,088.00
  5. Step 5: Solve for x
    x = 198,069,088.00/13,399.08
  6. Step 6: Final answer
    x = 14,782.29

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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.