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Finding the Fourth Proportional to 24,766, 37,154.76 and 8,350

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Solution

The fourth proportional to 24,766, 37,154.76 and 8,350 is: 12,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766 : 37,154.76 = 8,350 : x
  2. Step 2: Convert to fraction form
    24,766/37,154.76 = 8,350/x
  3. Step 3: Cross multiply
    24,766x = 37,154.76 × 8,350
  4. Step 4: Simplify right side
    24,766x = 310,242,246
  5. Step 5: Solve for x
    x = 310,242,246/24,766
  6. Step 6: Final answer
    x = 12,526.94

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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.