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Finding the Fourth Proportional to 14,510.98, 20,029.71 and 8,227.54

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Solution

The fourth proportional to 14,510.98, 20,029.71 and 8,227.54 is: 11,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.98 : 20,029.71 = 8,227.54 : x
  2. Step 2: Convert to fraction form
    14,510.98/20,029.71 = 8,227.54/x
  3. Step 3: Cross multiply
    14,510.98x = 20,029.71 × 8,227.54
  4. Step 4: Simplify right side
    14,510.98x = 164,795,240.21
  5. Step 5: Solve for x
    x = 164,795,240.21/14,510.98
  6. Step 6: Final answer
    x = 11,356.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.