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Finding the Fourth Proportional to 21,871.47, 32,799.14 and 7,827.69

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Solution

The fourth proportional to 21,871.47, 32,799.14 and 7,827.69 is: 11,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.47 : 32,799.14 = 7,827.69 : x
  2. Step 2: Convert to fraction form
    21,871.47/32,799.14 = 7,827.69/x
  3. Step 3: Cross multiply
    21,871.47x = 32,799.14 × 7,827.69
  4. Step 4: Simplify right side
    21,871.47x = 256,741,379.05
  5. Step 5: Solve for x
    x = 256,741,379.05/21,871.47
  6. Step 6: Final answer
    x = 11,738.64

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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.