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Finding the Fourth Proportional to 21,057.25, 31,575.30 and 7,012.32

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Solution

The fourth proportional to 21,057.25, 31,575.30 and 7,012.32 is: 10,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.25 : 31,575.30 = 7,012.32 : x
  2. Step 2: Convert to fraction form
    21,057.25/31,575.30 = 7,012.32/x
  3. Step 3: Cross multiply
    21,057.25x = 31,575.30 × 7,012.32
  4. Step 4: Simplify right side
    21,057.25x = 221,416,107.70
  5. Step 5: Solve for x
    x = 221,416,107.70/21,057.25
  6. Step 6: Final answer
    x = 10,514.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.