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Finding the Fourth Proportional to 20,497.34, 30,746.01 and 15,824.17

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Solution

The fourth proportional to 20,497.34, 30,746.01 and 15,824.17 is: 23,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.34 : 30,746.01 = 15,824.17 : x
  2. Step 2: Convert to fraction form
    20,497.34/30,746.01 = 15,824.17/x
  3. Step 3: Cross multiply
    20,497.34x = 30,746.01 × 15,824.17
  4. Step 4: Simplify right side
    20,497.34x = 486,530,012.20
  5. Step 5: Solve for x
    x = 486,530,012.20/20,497.34
  6. Step 6: Final answer
    x = 23,736.26

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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.