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Finding the Fourth Proportional to 13,597.51, 20,388.06 and 6,099.70

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Solution

The fourth proportional to 13,597.51, 20,388.06 and 6,099.70 is: 9,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.51 : 20,388.06 = 6,099.70 : x
  2. Step 2: Convert to fraction form
    13,597.51/20,388.06 = 6,099.70/x
  3. Step 3: Cross multiply
    13,597.51x = 20,388.06 × 6,099.70
  4. Step 4: Simplify right side
    13,597.51x = 124,361,049.58
  5. Step 5: Solve for x
    x = 124,361,049.58/13,597.51
  6. Step 6: Final answer
    x = 9,145.87

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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.