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Finding the Fourth Proportional to 24,197.70, 36,296.19 and 11,718.84

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Solution

The fourth proportional to 24,197.70, 36,296.19 and 11,718.84 is: 17,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.70 : 36,296.19 = 11,718.84 : x
  2. Step 2: Convert to fraction form
    24,197.70/36,296.19 = 11,718.84/x
  3. Step 3: Cross multiply
    24,197.70x = 36,296.19 × 11,718.84
  4. Step 4: Simplify right side
    24,197.70x = 425,349,243.22
  5. Step 5: Solve for x
    x = 425,349,243.22/24,197.70
  6. Step 6: Final answer
    x = 17,578.09

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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.