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Finding the Fourth Proportional to 24,057, 36,089.15 and 8,474.63

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Solution

The fourth proportional to 24,057, 36,089.15 and 8,474.63 is: 12,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057 : 36,089.15 = 8,474.63 : x
  2. Step 2: Convert to fraction form
    24,057/36,089.15 = 8,474.63/x
  3. Step 3: Cross multiply
    24,057x = 36,089.15 × 8,474.63
  4. Step 4: Simplify right side
    24,057x = 305,841,970.45
  5. Step 5: Solve for x
    x = 305,841,970.45/24,057
  6. Step 6: Final answer
    x = 12,713.22

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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.