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Finding the Fourth Proportional to 20,356.89, 30,538.98 and 10,493.52

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Solution

The fourth proportional to 20,356.89, 30,538.98 and 10,493.52 is: 15,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.89 : 30,538.98 = 10,493.52 : x
  2. Step 2: Convert to fraction form
    20,356.89/30,538.98 = 10,493.52/x
  3. Step 3: Cross multiply
    20,356.89x = 30,538.98 × 10,493.52
  4. Step 4: Simplify right side
    20,356.89x = 320,461,397.41
  5. Step 5: Solve for x
    x = 320,461,397.41/20,356.89
  6. Step 6: Final answer
    x = 15,742.16

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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.