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Finding the Fourth Proportional to 21,006.86, 31,507.79 and 7,855.70

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Solution

The fourth proportional to 21,006.86, 31,507.79 and 7,855.70 is: 11,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.86 : 31,507.79 = 7,855.70 : x
  2. Step 2: Convert to fraction form
    21,006.86/31,507.79 = 7,855.70/x
  3. Step 3: Cross multiply
    21,006.86x = 31,507.79 × 7,855.70
  4. Step 4: Simplify right side
    21,006.86x = 247,515,549.09
  5. Step 5: Solve for x
    x = 247,515,549.09/21,006.86
  6. Step 6: Final answer
    x = 11,782.61

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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.