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Finding the Fourth Proportional to 21,587.94, 32,381.94 and 8,431.07

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Solution

The fourth proportional to 21,587.94, 32,381.94 and 8,431.07 is: 12,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,587.94 : 32,381.94 = 8,431.07 : x
  2. Step 2: Convert to fraction form
    21,587.94/32,381.94 = 8,431.07/x
  3. Step 3: Cross multiply
    21,587.94x = 32,381.94 × 8,431.07
  4. Step 4: Simplify right side
    21,587.94x = 273,014,240.97
  5. Step 5: Solve for x
    x = 273,014,240.97/21,587.94
  6. Step 6: Final answer
    x = 12,646.61

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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.