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Finding the Fourth Proportional to 16,090.84, 22,205.36 and 9,803.21

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Solution

The fourth proportional to 16,090.84, 22,205.36 and 9,803.21 is: 13,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.84 : 22,205.36 = 9,803.21 : x
  2. Step 2: Convert to fraction form
    16,090.84/22,205.36 = 9,803.21/x
  3. Step 3: Cross multiply
    16,090.84x = 22,205.36 × 9,803.21
  4. Step 4: Simplify right side
    16,090.84x = 217,683,887.23
  5. Step 5: Solve for x
    x = 217,683,887.23/16,090.84
  6. Step 6: Final answer
    x = 13,528.44

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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.