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Finding the Fourth Proportional to 20,101.98, 30,148.84 and 7,617.70

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Solution

The fourth proportional to 20,101.98, 30,148.84 and 7,617.70 is: 11,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.98 : 30,148.84 = 7,617.70 : x
  2. Step 2: Convert to fraction form
    20,101.98/30,148.84 = 7,617.70/x
  3. Step 3: Cross multiply
    20,101.98x = 30,148.84 × 7,617.70
  4. Step 4: Simplify right side
    20,101.98x = 229,664,818.47
  5. Step 5: Solve for x
    x = 229,664,818.47/20,101.98
  6. Step 6: Final answer
    x = 11,424.98

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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.