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Finding the Fourth Proportional to 24,664.14, 37,018.14 and 11,523.90

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Solution

The fourth proportional to 24,664.14, 37,018.14 and 11,523.90 is: 17,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,664.14 : 37,018.14 = 11,523.90 : x
  2. Step 2: Convert to fraction form
    24,664.14/37,018.14 = 11,523.90/x
  3. Step 3: Cross multiply
    24,664.14x = 37,018.14 × 11,523.90
  4. Step 4: Simplify right side
    24,664.14x = 426,593,343.55
  5. Step 5: Solve for x
    x = 426,593,343.55/24,664.14
  6. Step 6: Final answer
    x = 17,296.10

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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.