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Finding the Fourth Proportional to 21,671.88, 32,509.04 and 6,882

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Solution

The fourth proportional to 21,671.88, 32,509.04 and 6,882 is: 10,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,671.88 : 32,509.04 = 6,882 : x
  2. Step 2: Convert to fraction form
    21,671.88/32,509.04 = 6,882/x
  3. Step 3: Cross multiply
    21,671.88x = 32,509.04 × 6,882
  4. Step 4: Simplify right side
    21,671.88x = 223,727,213.28
  5. Step 5: Solve for x
    x = 223,727,213.28/21,671.88
  6. Step 6: Final answer
    x = 10,323.39

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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.