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Finding the Fourth Proportional to 14,508, 21,763.86 and 4,120.02

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Solution

The fourth proportional to 14,508, 21,763.86 and 4,120.02 is: 6,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508 : 21,763.86 = 4,120.02 : x
  2. Step 2: Convert to fraction form
    14,508/21,763.86 = 4,120.02/x
  3. Step 3: Cross multiply
    14,508x = 21,763.86 × 4,120.02
  4. Step 4: Simplify right side
    14,508x = 89,667,538.48
  5. Step 5: Solve for x
    x = 89,667,538.48/14,508
  6. Step 6: Final answer
    x = 6,180.56

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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.