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Finding the Fourth Proportional to 12,714.16, 19,067.64 and 8,027.14

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Solution

The fourth proportional to 12,714.16, 19,067.64 and 8,027.14 is: 12,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.16 : 19,067.64 = 8,027.14 : x
  2. Step 2: Convert to fraction form
    12,714.16/19,067.64 = 8,027.14/x
  3. Step 3: Cross multiply
    12,714.16x = 19,067.64 × 8,027.14
  4. Step 4: Simplify right side
    12,714.16x = 153,058,615.75
  5. Step 5: Solve for x
    x = 153,058,615.75/12,714.16
  6. Step 6: Final answer
    x = 12,038.44

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1.5x scale

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.