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Finding the Fourth Proportional to 19,714.10, 27,205.48 and 12,640.52

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Solution

The fourth proportional to 19,714.10, 27,205.48 and 12,640.52 is: 17,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.10 : 27,205.48 = 12,640.52 : x
  2. Step 2: Convert to fraction form
    19,714.10/27,205.48 = 12,640.52/x
  3. Step 3: Cross multiply
    19,714.10x = 27,205.48 × 12,640.52
  4. Step 4: Simplify right side
    19,714.10x = 343,891,414.05
  5. Step 5: Solve for x
    x = 343,891,414.05/19,714.10
  6. Step 6: Final answer
    x = 17,443.93

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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.