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Finding the Fourth Proportional to 17,996.57, 24,824.87 and 10,821.50

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Solution

The fourth proportional to 17,996.57, 24,824.87 and 10,821.50 is: 14,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996.57 : 24,824.87 = 10,821.50 : x
  2. Step 2: Convert to fraction form
    17,996.57/24,824.87 = 10,821.50/x
  3. Step 3: Cross multiply
    17,996.57x = 24,824.87 × 10,821.50
  4. Step 4: Simplify right side
    17,996.57x = 268,642,330.71
  5. Step 5: Solve for x
    x = 268,642,330.71/17,996.57
  6. Step 6: Final answer
    x = 14,927.42

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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.