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Finding the Fourth Proportional to 20,097.84, 30,153.96 and 6,951.52

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Solution

The fourth proportional to 20,097.84, 30,153.96 and 6,951.52 is: 10,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.84 : 30,153.96 = 6,951.52 : x
  2. Step 2: Convert to fraction form
    20,097.84/30,153.96 = 6,951.52/x
  3. Step 3: Cross multiply
    20,097.84x = 30,153.96 × 6,951.52
  4. Step 4: Simplify right side
    20,097.84x = 209,615,856.02
  5. Step 5: Solve for x
    x = 209,615,856.02/20,097.84
  6. Step 6: Final answer
    x = 10,429.77

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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.