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Finding the Fourth Proportional to 20,285.98, 30,428.64 and 7,808.72

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Solution

The fourth proportional to 20,285.98, 30,428.64 and 7,808.72 is: 11,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.98 : 30,428.64 = 7,808.72 : x
  2. Step 2: Convert to fraction form
    20,285.98/30,428.64 = 7,808.72/x
  3. Step 3: Cross multiply
    20,285.98x = 30,428.64 × 7,808.72
  4. Step 4: Simplify right side
    20,285.98x = 237,608,729.74
  5. Step 5: Solve for x
    x = 237,608,729.74/20,285.98
  6. Step 6: Final answer
    x = 11,712.95

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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.