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Finding the Fourth Proportional to 24,078.78, 36,104.76 and 7,434.09

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Solution

The fourth proportional to 24,078.78, 36,104.76 and 7,434.09 is: 11,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.78 : 36,104.76 = 7,434.09 : x
  2. Step 2: Convert to fraction form
    24,078.78/36,104.76 = 7,434.09/x
  3. Step 3: Cross multiply
    24,078.78x = 36,104.76 × 7,434.09
  4. Step 4: Simplify right side
    24,078.78x = 268,406,035.27
  5. Step 5: Solve for x
    x = 268,406,035.27/24,078.78
  6. Step 6: Final answer
    x = 11,146.99

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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.