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Finding the Fourth Proportional to 21,131.34, 31,669.53 and 8,637.09

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Solution

The fourth proportional to 21,131.34, 31,669.53 and 8,637.09 is: 12,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.34 : 31,669.53 = 8,637.09 : x
  2. Step 2: Convert to fraction form
    21,131.34/31,669.53 = 8,637.09/x
  3. Step 3: Cross multiply
    21,131.34x = 31,669.53 × 8,637.09
  4. Step 4: Simplify right side
    21,131.34x = 273,532,580.87
  5. Step 5: Solve for x
    x = 273,532,580.87/21,131.34
  6. Step 6: Final answer
    x = 12,944.40

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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.