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Finding the Fourth Proportional to 24,097.91, 36,154.58 and 7,461.23

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Solution

The fourth proportional to 24,097.91, 36,154.58 and 7,461.23 is: 11,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.91 : 36,154.58 = 7,461.23 : x
  2. Step 2: Convert to fraction form
    24,097.91/36,154.58 = 7,461.23/x
  3. Step 3: Cross multiply
    24,097.91x = 36,154.58 × 7,461.23
  4. Step 4: Simplify right side
    24,097.91x = 269,757,418.85
  5. Step 5: Solve for x
    x = 269,757,418.85/24,097.91
  6. Step 6: Final answer
    x = 11,194.23

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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.