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Finding the Fourth Proportional to 21,282.94, 31,923.19 and 8,129.35

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Solution

The fourth proportional to 21,282.94, 31,923.19 and 8,129.35 is: 12,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282.94 : 31,923.19 = 8,129.35 : x
  2. Step 2: Convert to fraction form
    21,282.94/31,923.19 = 8,129.35/x
  3. Step 3: Cross multiply
    21,282.94x = 31,923.19 × 8,129.35
  4. Step 4: Simplify right side
    21,282.94x = 259,514,784.63
  5. Step 5: Solve for x
    x = 259,514,784.63/21,282.94
  6. Step 6: Final answer
    x = 12,193.56

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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.