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Finding the Fourth Proportional to 21,057.61, 31,586.45 and 5,475.25

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Solution

The fourth proportional to 21,057.61, 31,586.45 and 5,475.25 is: 8,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057.61 : 31,586.45 = 5,475.25 : x
  2. Step 2: Convert to fraction form
    21,057.61/31,586.45 = 5,475.25/x
  3. Step 3: Cross multiply
    21,057.61x = 31,586.45 × 5,475.25
  4. Step 4: Simplify right side
    21,057.61x = 172,943,710.36
  5. Step 5: Solve for x
    x = 172,943,710.36/21,057.61
  6. Step 6: Final answer
    x = 8,212.88

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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.