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Finding the Fourth Proportional to 19,896.84, 29,816.10 and 8,218.26

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Solution

The fourth proportional to 19,896.84, 29,816.10 and 8,218.26 is: 12,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,896.84 : 29,816.10 = 8,218.26 : x
  2. Step 2: Convert to fraction form
    19,896.84/29,816.10 = 8,218.26/x
  3. Step 3: Cross multiply
    19,896.84x = 29,816.10 × 8,218.26
  4. Step 4: Simplify right side
    19,896.84x = 245,036,461.99
  5. Step 5: Solve for x
    x = 245,036,461.99/19,896.84
  6. Step 6: Final answer
    x = 12,315.35

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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.