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Finding the Fourth Proportional to 20,098.36, 30,152.10 and 6,950.85

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Solution

The fourth proportional to 20,098.36, 30,152.10 and 6,950.85 is: 10,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.36 : 30,152.10 = 6,950.85 : x
  2. Step 2: Convert to fraction form
    20,098.36/30,152.10 = 6,950.85/x
  3. Step 3: Cross multiply
    20,098.36x = 30,152.10 × 6,950.85
  4. Step 4: Simplify right side
    20,098.36x = 209,582,598.18
  5. Step 5: Solve for x
    x = 209,582,598.18/20,098.36
  6. Step 6: Final answer
    x = 10,427.85

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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.