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Finding the Fourth Proportional to 12,821.68, 19,234.68 and 5,896

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Solution

The fourth proportional to 12,821.68, 19,234.68 and 5,896 is: 8,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.68 : 19,234.68 = 5,896 : x
  2. Step 2: Convert to fraction form
    12,821.68/19,234.68 = 5,896/x
  3. Step 3: Cross multiply
    12,821.68x = 19,234.68 × 5,896
  4. Step 4: Simplify right side
    12,821.68x = 113,407,673.28
  5. Step 5: Solve for x
    x = 113,407,673.28/12,821.68
  6. Step 6: Final answer
    x = 8,844.99

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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.