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Finding the Fourth Proportional to 20,464.34, 30,696.51 and 9,206.53

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Solution

The fourth proportional to 20,464.34, 30,696.51 and 9,206.53 is: 13,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.34 : 30,696.51 = 9,206.53 : x
  2. Step 2: Convert to fraction form
    20,464.34/30,696.51 = 9,206.53/x
  3. Step 3: Cross multiply
    20,464.34x = 30,696.51 × 9,206.53
  4. Step 4: Simplify right side
    20,464.34x = 282,608,186.73
  5. Step 5: Solve for x
    x = 282,608,186.73/20,464.34
  6. Step 6: Final answer
    x = 13,809.79

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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.