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Finding the Fourth Proportional to 21,712.81, 32,571.26 and 7,672.73

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Solution

The fourth proportional to 21,712.81, 32,571.26 and 7,672.73 is: 11,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.81 : 32,571.26 = 7,672.73 : x
  2. Step 2: Convert to fraction form
    21,712.81/32,571.26 = 7,672.73/x
  3. Step 3: Cross multiply
    21,712.81x = 32,571.26 × 7,672.73
  4. Step 4: Simplify right side
    21,712.81x = 249,910,354.45
  5. Step 5: Solve for x
    x = 249,910,354.45/21,712.81
  6. Step 6: Final answer
    x = 11,509.81

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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.