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Finding the Fourth Proportional to 24,755.76, 37,131 and 6,985.98

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Solution

The fourth proportional to 24,755.76, 37,131 and 6,985.98 is: 10,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.76 : 37,131 = 6,985.98 : x
  2. Step 2: Convert to fraction form
    24,755.76/37,131 = 6,985.98/x
  3. Step 3: Cross multiply
    24,755.76x = 37,131 × 6,985.98
  4. Step 4: Simplify right side
    24,755.76x = 259,396,423.38
  5. Step 5: Solve for x
    x = 259,396,423.38/24,755.76
  6. Step 6: Final answer
    x = 10,478.23

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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.