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Finding the Fourth Proportional to 20,099.70, 30,168 and 10,246.32

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Solution

The fourth proportional to 20,099.70, 30,168 and 10,246.32 is: 15,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.70 : 30,168 = 10,246.32 : x
  2. Step 2: Convert to fraction form
    20,099.70/30,168 = 10,246.32/x
  3. Step 3: Cross multiply
    20,099.70x = 30,168 × 10,246.32
  4. Step 4: Simplify right side
    20,099.70x = 309,110,981.76
  5. Step 5: Solve for x
    x = 309,110,981.76/20,099.70
  6. Step 6: Final answer
    x = 15,378.89

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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.