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Finding the Fourth Proportional to 24,434.15, 36,626.31 and 9,634.86

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Solution

The fourth proportional to 24,434.15, 36,626.31 and 9,634.86 is: 14,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434.15 : 36,626.31 = 9,634.86 : x
  2. Step 2: Convert to fraction form
    24,434.15/36,626.31 = 9,634.86/x
  3. Step 3: Cross multiply
    24,434.15x = 36,626.31 × 9,634.86
  4. Step 4: Simplify right side
    24,434.15x = 352,889,369.17
  5. Step 5: Solve for x
    x = 352,889,369.17/24,434.15
  6. Step 6: Final answer
    x = 14,442.47

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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.