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Finding the Fourth Proportional to 20,302.36, 30,447.06 and 6,448.12

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Solution

The fourth proportional to 20,302.36, 30,447.06 and 6,448.12 is: 9,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.36 : 30,447.06 = 6,448.12 : x
  2. Step 2: Convert to fraction form
    20,302.36/30,447.06 = 6,448.12/x
  3. Step 3: Cross multiply
    20,302.36x = 30,447.06 × 6,448.12
  4. Step 4: Simplify right side
    20,302.36x = 196,326,296.53
  5. Step 5: Solve for x
    x = 196,326,296.53/20,302.36
  6. Step 6: Final answer
    x = 9,670.12

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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.