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Finding the Fourth Proportional to 24,026.80, 36,045.82 and 8,232

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Solution

The fourth proportional to 24,026.80, 36,045.82 and 8,232 is: 12,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,026.80 : 36,045.82 = 8,232 : x
  2. Step 2: Convert to fraction form
    24,026.80/36,045.82 = 8,232/x
  3. Step 3: Cross multiply
    24,026.80x = 36,045.82 × 8,232
  4. Step 4: Simplify right side
    24,026.80x = 296,729,190.24
  5. Step 5: Solve for x
    x = 296,729,190.24/24,026.80
  6. Step 6: Final answer
    x = 12,349.93

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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.