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Finding the Fourth Proportional to 21,024, 29,012.40 and 11,592

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Solution

The fourth proportional to 21,024, 29,012.40 and 11,592 is: 15,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024 : 29,012.40 = 11,592 : x
  2. Step 2: Convert to fraction form
    21,024/29,012.40 = 11,592/x
  3. Step 3: Cross multiply
    21,024x = 29,012.40 × 11,592
  4. Step 4: Simplify right side
    21,024x = 336,311,740.80
  5. Step 5: Solve for x
    x = 336,311,740.80/21,024
  6. Step 6: Final answer
    x = 15,996.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.