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Finding the Fourth Proportional to 20,164.48, 30,246.72 and 9,602.48

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Solution

The fourth proportional to 20,164.48, 30,246.72 and 9,602.48 is: 14,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.48 : 30,246.72 = 9,602.48 : x
  2. Step 2: Convert to fraction form
    20,164.48/30,246.72 = 9,602.48/x
  3. Step 3: Cross multiply
    20,164.48x = 30,246.72 × 9,602.48
  4. Step 4: Simplify right side
    20,164.48x = 290,443,372.07
  5. Step 5: Solve for x
    x = 290,443,372.07/20,164.48
  6. Step 6: Final answer
    x = 14,403.71

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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.