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Finding the Fourth Proportional to 20,461.98, 30,693.56 and 7,981.50

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Solution

The fourth proportional to 20,461.98, 30,693.56 and 7,981.50 is: 11,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.98 : 30,693.56 = 7,981.50 : x
  2. Step 2: Convert to fraction form
    20,461.98/30,693.56 = 7,981.50/x
  3. Step 3: Cross multiply
    20,461.98x = 30,693.56 × 7,981.50
  4. Step 4: Simplify right side
    20,461.98x = 244,980,649.14
  5. Step 5: Solve for x
    x = 244,980,649.14/20,461.98
  6. Step 6: Final answer
    x = 11,972.48

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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.