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Finding the Fourth Proportional to 21,675.13, 32,513.82 and 6,885.21

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Solution

The fourth proportional to 21,675.13, 32,513.82 and 6,885.21 is: 10,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.13 : 32,513.82 = 6,885.21 : x
  2. Step 2: Convert to fraction form
    21,675.13/32,513.82 = 6,885.21/x
  3. Step 3: Cross multiply
    21,675.13x = 32,513.82 × 6,885.21
  4. Step 4: Simplify right side
    21,675.13x = 223,864,478.60
  5. Step 5: Solve for x
    x = 223,864,478.60/21,675.13
  6. Step 6: Final answer
    x = 10,328.17

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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.