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Finding the Fourth Proportional to 24,142.96, 36,224.62 and 9,362.28

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Solution

The fourth proportional to 24,142.96, 36,224.62 and 9,362.28 is: 14,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.96 : 36,224.62 = 9,362.28 : x
  2. Step 2: Convert to fraction form
    24,142.96/36,224.62 = 9,362.28/x
  3. Step 3: Cross multiply
    24,142.96x = 36,224.62 × 9,362.28
  4. Step 4: Simplify right side
    24,142.96x = 339,145,147.77
  5. Step 5: Solve for x
    x = 339,145,147.77/24,142.96
  6. Step 6: Final answer
    x = 14,047.37

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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.