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Finding the Fourth Proportional to 14,600.72, 21,900.36 and 5,366

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Solution

The fourth proportional to 14,600.72, 21,900.36 and 5,366 is: 8,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.72 : 21,900.36 = 5,366 : x
  2. Step 2: Convert to fraction form
    14,600.72/21,900.36 = 5,366/x
  3. Step 3: Cross multiply
    14,600.72x = 21,900.36 × 5,366
  4. Step 4: Simplify right side
    14,600.72x = 117,517,331.76
  5. Step 5: Solve for x
    x = 117,517,331.76/14,600.72
  6. Step 6: Final answer
    x = 8,048.74

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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.