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Finding the Fourth Proportional to 19,714.64, 29,575.56 and 11,914.16

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Solution

The fourth proportional to 19,714.64, 29,575.56 and 11,914.16 is: 17,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.64 : 29,575.56 = 11,914.16 : x
  2. Step 2: Convert to fraction form
    19,714.64/29,575.56 = 11,914.16/x
  3. Step 3: Cross multiply
    19,714.64x = 29,575.56 × 11,914.16
  4. Step 4: Simplify right side
    19,714.64x = 352,367,953.93
  5. Step 5: Solve for x
    x = 352,367,953.93/19,714.64
  6. Step 6: Final answer
    x = 17,873.42

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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.