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Finding the Fourth Proportional to 21,677.62, 32,513.04 and 6,884.59

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Solution

The fourth proportional to 21,677.62, 32,513.04 and 6,884.59 is: 10,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.62 : 32,513.04 = 6,884.59 : x
  2. Step 2: Convert to fraction form
    21,677.62/32,513.04 = 6,884.59/x
  3. Step 3: Cross multiply
    21,677.62x = 32,513.04 × 6,884.59
  4. Step 4: Simplify right side
    21,677.62x = 223,838,950.05
  5. Step 5: Solve for x
    x = 223,838,950.05/21,677.62
  6. Step 6: Final answer
    x = 10,325.81

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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.