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Finding the Fourth Proportional to 24,633.36, 36,945.36 and 12,149.10

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Solution

The fourth proportional to 24,633.36, 36,945.36 and 12,149.10 is: 18,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,633.36 : 36,945.36 = 12,149.10 : x
  2. Step 2: Convert to fraction form
    24,633.36/36,945.36 = 12,149.10/x
  3. Step 3: Cross multiply
    24,633.36x = 36,945.36 × 12,149.10
  4. Step 4: Simplify right side
    24,633.36x = 448,852,873.18
  5. Step 5: Solve for x
    x = 448,852,873.18/24,633.36
  6. Step 6: Final answer
    x = 18,221.34

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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.