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Finding the Fourth Proportional to 21,257.70, 31,889.50 and 9,410.54

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Solution

The fourth proportional to 21,257.70, 31,889.50 and 9,410.54 is: 14,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.70 : 31,889.50 = 9,410.54 : x
  2. Step 2: Convert to fraction form
    21,257.70/31,889.50 = 9,410.54/x
  3. Step 3: Cross multiply
    21,257.70x = 31,889.50 × 9,410.54
  4. Step 4: Simplify right side
    21,257.70x = 300,097,415.33
  5. Step 5: Solve for x
    x = 300,097,415.33/21,257.70
  6. Step 6: Final answer
    x = 14,117.12

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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.