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Finding the Fourth Proportional to 16,148.73, 22,287.03 and 9,075

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Solution

The fourth proportional to 16,148.73, 22,287.03 and 9,075 is: 12,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.73 : 22,287.03 = 9,075 : x
  2. Step 2: Convert to fraction form
    16,148.73/22,287.03 = 9,075/x
  3. Step 3: Cross multiply
    16,148.73x = 22,287.03 × 9,075
  4. Step 4: Simplify right side
    16,148.73x = 202,254,797.25
  5. Step 5: Solve for x
    x = 202,254,797.25/16,148.73
  6. Step 6: Final answer
    x = 12,524.50

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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.