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Finding the Fourth Proportional to 14,874.88, 20,506.80 and 14,414.80

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Solution

The fourth proportional to 14,874.88, 20,506.80 and 14,414.80 is: 19,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.88 : 20,506.80 = 14,414.80 : x
  2. Step 2: Convert to fraction form
    14,874.88/20,506.80 = 14,414.80/x
  3. Step 3: Cross multiply
    14,874.88x = 20,506.80 × 14,414.80
  4. Step 4: Simplify right side
    14,874.88x = 295,601,420.64
  5. Step 5: Solve for x
    x = 295,601,420.64/14,874.88
  6. Step 6: Final answer
    x = 19,872.52

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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.