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Finding the Fourth Proportional to 20,098.84, 30,152.86 and 6,951.20

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Solution

The fourth proportional to 20,098.84, 30,152.86 and 6,951.20 is: 10,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.84 : 30,152.86 = 6,951.20 : x
  2. Step 2: Convert to fraction form
    20,098.84/30,152.86 = 6,951.20/x
  3. Step 3: Cross multiply
    20,098.84x = 30,152.86 × 6,951.20
  4. Step 4: Simplify right side
    20,098.84x = 209,598,561.90
  5. Step 5: Solve for x
    x = 209,598,561.90/20,098.84
  6. Step 6: Final answer
    x = 10,428.39

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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.