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Finding the Fourth Proportional to 13,349.08, 20,035.14 and 5,146.84

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Solution

The fourth proportional to 13,349.08, 20,035.14 and 5,146.84 is: 7,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.08 : 20,035.14 = 5,146.84 : x
  2. Step 2: Convert to fraction form
    13,349.08/20,035.14 = 5,146.84/x
  3. Step 3: Cross multiply
    13,349.08x = 20,035.14 × 5,146.84
  4. Step 4: Simplify right side
    13,349.08x = 103,117,659.96
  5. Step 5: Solve for x
    x = 103,117,659.96/13,349.08
  6. Step 6: Final answer
    x = 7,724.70

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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.