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Finding the Fourth Proportional to 16,822.65, 25,222.37 and 7,457.57

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Solution

The fourth proportional to 16,822.65, 25,222.37 and 7,457.57 is: 11,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.65 : 25,222.37 = 7,457.57 : x
  2. Step 2: Convert to fraction form
    16,822.65/25,222.37 = 7,457.57/x
  3. Step 3: Cross multiply
    16,822.65x = 25,222.37 × 7,457.57
  4. Step 4: Simplify right side
    16,822.65x = 188,097,426.44
  5. Step 5: Solve for x
    x = 188,097,426.44/16,822.65
  6. Step 6: Final answer
    x = 11,181.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.