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Finding the Fourth Proportional to 21,057.63, 31,575.86 and 7,012.69

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Solution

The fourth proportional to 21,057.63, 31,575.86 and 7,012.69 is: 10,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.63 : 31,575.86 = 7,012.69 : x
  2. Step 2: Convert to fraction form
    21,057.63/31,575.86 = 7,012.69/x
  3. Step 3: Cross multiply
    21,057.63x = 31,575.86 × 7,012.69
  4. Step 4: Simplify right side
    21,057.63x = 221,431,735.20
  5. Step 5: Solve for x
    x = 221,431,735.20/21,057.63
  6. Step 6: Final answer
    x = 10,515.51

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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.