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Finding the Fourth Proportional to 16,533.65, 22,815.25 and 9,361.50

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Solution

The fourth proportional to 16,533.65, 22,815.25 and 9,361.50 is: 12,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.65 : 22,815.25 = 9,361.50 : x
  2. Step 2: Convert to fraction form
    16,533.65/22,815.25 = 9,361.50/x
  3. Step 3: Cross multiply
    16,533.65x = 22,815.25 × 9,361.50
  4. Step 4: Simplify right side
    16,533.65x = 213,584,962.88
  5. Step 5: Solve for x
    x = 213,584,962.88/16,533.65
  6. Step 6: Final answer
    x = 12,918.20

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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.