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Finding the Fourth Proportional to 21,604.24, 32,407.06 and 6,813.30

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Solution

The fourth proportional to 21,604.24, 32,407.06 and 6,813.30 is: 10,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,604.24 : 32,407.06 = 6,813.30 : x
  2. Step 2: Convert to fraction form
    21,604.24/32,407.06 = 6,813.30/x
  3. Step 3: Cross multiply
    21,604.24x = 32,407.06 × 6,813.30
  4. Step 4: Simplify right side
    21,604.24x = 220,799,021.90
  5. Step 5: Solve for x
    x = 220,799,021.90/21,604.24
  6. Step 6: Final answer
    x = 10,220.17

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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.