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Finding the Fourth Proportional to 14,843.63, 22,263.38 and 3,749.64

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Solution

The fourth proportional to 14,843.63, 22,263.38 and 3,749.64 is: 5,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.63 : 22,263.38 = 3,749.64 : x
  2. Step 2: Convert to fraction form
    14,843.63/22,263.38 = 3,749.64/x
  3. Step 3: Cross multiply
    14,843.63x = 22,263.38 × 3,749.64
  4. Step 4: Simplify right side
    14,843.63x = 83,479,660.18
  5. Step 5: Solve for x
    x = 83,479,660.18/14,843.63
  6. Step 6: Final answer
    x = 5,623.94

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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.