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Finding the Fourth Proportional to 21,106.11, 31,647.47 and 8,634.89

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Solution

The fourth proportional to 21,106.11, 31,647.47 and 8,634.89 is: 12,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.11 : 31,647.47 = 8,634.89 : x
  2. Step 2: Convert to fraction form
    21,106.11/31,647.47 = 8,634.89/x
  3. Step 3: Cross multiply
    21,106.11x = 31,647.47 × 8,634.89
  4. Step 4: Simplify right side
    21,106.11x = 273,272,220.82
  5. Step 5: Solve for x
    x = 273,272,220.82/21,106.11
  6. Step 6: Final answer
    x = 12,947.54

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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.