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Finding the Fourth Proportional to 24,497.30, 36,745.71 and 6,964.82

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Solution

The fourth proportional to 24,497.30, 36,745.71 and 6,964.82 is: 10,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.30 : 36,745.71 = 6,964.82 : x
  2. Step 2: Convert to fraction form
    24,497.30/36,745.71 = 6,964.82/x
  3. Step 3: Cross multiply
    24,497.30x = 36,745.71 × 6,964.82
  4. Step 4: Simplify right side
    24,497.30x = 255,927,255.92
  5. Step 5: Solve for x
    x = 255,927,255.92/24,497.30
  6. Step 6: Final answer
    x = 10,447.16

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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.