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Finding the Fourth Proportional to 21,109.61, 31,652.71 and 8,638.39

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Solution

The fourth proportional to 21,109.61, 31,652.71 and 8,638.39 is: 12,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.61 : 31,652.71 = 8,638.39 : x
  2. Step 2: Convert to fraction form
    21,109.61/31,652.71 = 8,638.39/x
  3. Step 3: Cross multiply
    21,109.61x = 31,652.71 × 8,638.39
  4. Step 4: Simplify right side
    21,109.61x = 273,428,453.54
  5. Step 5: Solve for x
    x = 273,428,453.54/21,109.61
  6. Step 6: Final answer
    x = 12,952.80

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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.