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Finding the Fourth Proportional to 21,257.01, 31,889.84 and 7,415.73

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Solution

The fourth proportional to 21,257.01, 31,889.84 and 7,415.73 is: 11,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.01 : 31,889.84 = 7,415.73 : x
  2. Step 2: Convert to fraction form
    21,257.01/31,889.84 = 7,415.73/x
  3. Step 3: Cross multiply
    21,257.01x = 31,889.84 × 7,415.73
  4. Step 4: Simplify right side
    21,257.01x = 236,486,406.10
  5. Step 5: Solve for x
    x = 236,486,406.10/21,257.01
  6. Step 6: Final answer
    x = 11,125.10

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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.