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Finding the Fourth Proportional to 19,714.21, 29,553.71 and 7,231.32

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Solution

The fourth proportional to 19,714.21, 29,553.71 and 7,231.32 is: 10,840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.21 : 29,553.71 = 7,231.32 : x
  2. Step 2: Convert to fraction form
    19,714.21/29,553.71 = 7,231.32/x
  3. Step 3: Cross multiply
    19,714.21x = 29,553.71 × 7,231.32
  4. Step 4: Simplify right side
    19,714.21x = 213,712,298.04
  5. Step 5: Solve for x
    x = 213,712,298.04/19,714.21
  6. Step 6: Final answer
    x = 10,840.52

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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.