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Finding the Fourth Proportional to 21,328.20, 32,006.70 and 11,968.20

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Solution

The fourth proportional to 21,328.20, 32,006.70 and 11,968.20 is: 17,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328.20 : 32,006.70 = 11,968.20 : x
  2. Step 2: Convert to fraction form
    21,328.20/32,006.70 = 11,968.20/x
  3. Step 3: Cross multiply
    21,328.20x = 32,006.70 × 11,968.20
  4. Step 4: Simplify right side
    21,328.20x = 383,062,586.94
  5. Step 5: Solve for x
    x = 383,062,586.94/21,328.20
  6. Step 6: Final answer
    x = 17,960.38

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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.