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Finding the Fourth Proportional to 24,648, 36,973.92 and 8,232

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Solution

The fourth proportional to 24,648, 36,973.92 and 8,232 is: 12,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648 : 36,973.92 = 8,232 : x
  2. Step 2: Convert to fraction form
    24,648/36,973.92 = 8,232/x
  3. Step 3: Cross multiply
    24,648x = 36,973.92 × 8,232
  4. Step 4: Simplify right side
    24,648x = 304,369,309.44
  5. Step 5: Solve for x
    x = 304,369,309.44/24,648
  6. Step 6: Final answer
    x = 12,348.64

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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.