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Finding the Fourth Proportional to 20,355.41, 30,538.28 and 8,507.14

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Solution

The fourth proportional to 20,355.41, 30,538.28 and 8,507.14 is: 12,762.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,355.41 : 30,538.28 = 8,507.14 : x
  2. Step 2: Convert to fraction form
    20,355.41/30,538.28 = 8,507.14/x
  3. Step 3: Cross multiply
    20,355.41x = 30,538.28 × 8,507.14
  4. Step 4: Simplify right side
    20,355.41x = 259,793,368.24
  5. Step 5: Solve for x
    x = 259,793,368.24/20,355.41
  6. Step 6: Final answer
    x = 12,762.86

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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.