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Finding the Fourth Proportional to 24,605.24, 36,908 and 6,137.24

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Solution

The fourth proportional to 24,605.24, 36,908 and 6,137.24 is: 9,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.24 : 36,908 = 6,137.24 : x
  2. Step 2: Convert to fraction form
    24,605.24/36,908 = 6,137.24/x
  3. Step 3: Cross multiply
    24,605.24x = 36,908 × 6,137.24
  4. Step 4: Simplify right side
    24,605.24x = 226,513,253.92
  5. Step 5: Solve for x
    x = 226,513,253.92/24,605.24
  6. Step 6: Final answer
    x = 9,205.89

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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.