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Finding the Fourth Proportional to 24,706.63, 37,063.78 and 8,294.47

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Solution

The fourth proportional to 24,706.63, 37,063.78 and 8,294.47 is: 12,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.63 : 37,063.78 = 8,294.47 : x
  2. Step 2: Convert to fraction form
    24,706.63/37,063.78 = 8,294.47/x
  3. Step 3: Cross multiply
    24,706.63x = 37,063.78 × 8,294.47
  4. Step 4: Simplify right side
    24,706.63x = 307,424,225.98
  5. Step 5: Solve for x
    x = 307,424,225.98/24,706.63
  6. Step 6: Final answer
    x = 12,442.99

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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.