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Finding the Fourth Proportional to 24,607.98, 36,912.38 and 9,616.23

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Solution

The fourth proportional to 24,607.98, 36,912.38 and 9,616.23 is: 14,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.98 : 36,912.38 = 9,616.23 : x
  2. Step 2: Convert to fraction form
    24,607.98/36,912.38 = 9,616.23/x
  3. Step 3: Cross multiply
    24,607.98x = 36,912.38 × 9,616.23
  4. Step 4: Simplify right side
    24,607.98x = 354,957,887.85
  5. Step 5: Solve for x
    x = 354,957,887.85/24,607.98
  6. Step 6: Final answer
    x = 14,424.50

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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.