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Finding the Fourth Proportional to 20,428.98, 30,615.12 and 9,308.49

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Solution

The fourth proportional to 20,428.98, 30,615.12 and 9,308.49 is: 13,949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.98 : 30,615.12 = 9,308.49 : x
  2. Step 2: Convert to fraction form
    20,428.98/30,615.12 = 9,308.49/x
  3. Step 3: Cross multiply
    20,428.98x = 30,615.12 × 9,308.49
  4. Step 4: Simplify right side
    20,428.98x = 284,980,538.37
  5. Step 5: Solve for x
    x = 284,980,538.37/20,428.98
  6. Step 6: Final answer
    x = 13,949.82

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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.