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Finding the Fourth Proportional to 20,246.53, 30,369.49 and 9,145.46

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Solution

The fourth proportional to 20,246.53, 30,369.49 and 9,145.46 is: 13,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,246.53 : 30,369.49 = 9,145.46 : x
  2. Step 2: Convert to fraction form
    20,246.53/30,369.49 = 9,145.46/x
  3. Step 3: Cross multiply
    20,246.53x = 30,369.49 × 9,145.46
  4. Step 4: Simplify right side
    20,246.53x = 277,742,902.55
  5. Step 5: Solve for x
    x = 277,742,902.55/20,246.53
  6. Step 6: Final answer
    x = 13,718.05

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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.