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Finding the Fourth Proportional to 14,627.79, 21,943.97 and 4,764.78

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Solution

The fourth proportional to 14,627.79, 21,943.97 and 4,764.78 is: 7,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627.79 : 21,943.97 = 4,764.78 : x
  2. Step 2: Convert to fraction form
    14,627.79/21,943.97 = 4,764.78/x
  3. Step 3: Cross multiply
    14,627.79x = 21,943.97 × 4,764.78
  4. Step 4: Simplify right side
    14,627.79x = 104,558,165.55
  5. Step 5: Solve for x
    x = 104,558,165.55/14,627.79
  6. Step 6: Final answer
    x = 7,147.91

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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.