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Finding the Fourth Proportional to 24,453.93, 36,680.54 and 7,813.74

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Solution

The fourth proportional to 24,453.93, 36,680.54 and 7,813.74 is: 11,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,453.93 : 36,680.54 = 7,813.74 : x
  2. Step 2: Convert to fraction form
    24,453.93/36,680.54 = 7,813.74/x
  3. Step 3: Cross multiply
    24,453.93x = 36,680.54 × 7,813.74
  4. Step 4: Simplify right side
    24,453.93x = 286,612,163.55
  5. Step 5: Solve for x
    x = 286,612,163.55/24,453.93
  6. Step 6: Final answer
    x = 11,720.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.