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Finding the Fourth Proportional to 16,075.80, 22,184.09 and 8,905.42

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Solution

The fourth proportional to 16,075.80, 22,184.09 and 8,905.42 is: 12,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.80 : 22,184.09 = 8,905.42 : x
  2. Step 2: Convert to fraction form
    16,075.80/22,184.09 = 8,905.42/x
  3. Step 3: Cross multiply
    16,075.80x = 22,184.09 × 8,905.42
  4. Step 4: Simplify right side
    16,075.80x = 197,558,655.37
  5. Step 5: Solve for x
    x = 197,558,655.37/16,075.80
  6. Step 6: Final answer
    x = 12,289.20

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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.