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Finding the Fourth Proportional to 24,408.10, 36,614.58 and 11,264.23

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Solution

The fourth proportional to 24,408.10, 36,614.58 and 11,264.23 is: 16,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.10 : 36,614.58 = 11,264.23 : x
  2. Step 2: Convert to fraction form
    24,408.10/36,614.58 = 11,264.23/x
  3. Step 3: Cross multiply
    24,408.10x = 36,614.58 × 11,264.23
  4. Step 4: Simplify right side
    24,408.10x = 412,435,050.47
  5. Step 5: Solve for x
    x = 412,435,050.47/24,408.10
  6. Step 6: Final answer
    x = 16,897.47

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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.