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Finding the Fourth Proportional to 24,017.82, 36,017.37 and 9,020.22

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Solution

The fourth proportional to 24,017.82, 36,017.37 and 9,020.22 is: 13,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.82 : 36,017.37 = 9,020.22 : x
  2. Step 2: Convert to fraction form
    24,017.82/36,017.37 = 9,020.22/x
  3. Step 3: Cross multiply
    24,017.82x = 36,017.37 × 9,020.22
  4. Step 4: Simplify right side
    24,017.82x = 324,884,601.22
  5. Step 5: Solve for x
    x = 324,884,601.22/24,017.82
  6. Step 6: Final answer
    x = 13,526.81

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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.