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Finding the Fourth Proportional to 24,214.67, 36,322.36 and 9,222.61

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Solution

The fourth proportional to 24,214.67, 36,322.36 and 9,222.61 is: 13,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.67 : 36,322.36 = 9,222.61 : x
  2. Step 2: Convert to fraction form
    24,214.67/36,322.36 = 9,222.61/x
  3. Step 3: Cross multiply
    24,214.67x = 36,322.36 × 9,222.61
  4. Step 4: Simplify right side
    24,214.67x = 334,986,960.56
  5. Step 5: Solve for x
    x = 334,986,960.56/24,214.67
  6. Step 6: Final answer
    x = 13,834.05

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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.