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Finding the Fourth Proportional to 24,696, 37,044 and 10,845.36

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Solution

The fourth proportional to 24,696, 37,044 and 10,845.36 is: 16,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696 : 37,044 = 10,845.36 : x
  2. Step 2: Convert to fraction form
    24,696/37,044 = 10,845.36/x
  3. Step 3: Cross multiply
    24,696x = 37,044 × 10,845.36
  4. Step 4: Simplify right side
    24,696x = 401,755,515.84
  5. Step 5: Solve for x
    x = 401,755,515.84/24,696
  6. Step 6: Final answer
    x = 16,268.04

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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.