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Finding the Fourth Proportional to 16,147.92, 22,282.98 and 9,075.42

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Solution

The fourth proportional to 16,147.92, 22,282.98 and 9,075.42 is: 12,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.92 : 22,282.98 = 9,075.42 : x
  2. Step 2: Convert to fraction form
    16,147.92/22,282.98 = 9,075.42/x
  3. Step 3: Cross multiply
    16,147.92x = 22,282.98 × 9,075.42
  4. Step 4: Simplify right side
    16,147.92x = 202,227,402.35
  5. Step 5: Solve for x
    x = 202,227,402.35/16,147.92
  6. Step 6: Final answer
    x = 12,523.43

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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.