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Finding the Fourth Proportional to 12,025.50, 18,036.06 and 5,450.16

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Solution

The fourth proportional to 12,025.50, 18,036.06 and 5,450.16 is: 8,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.50 : 18,036.06 = 5,450.16 : x
  2. Step 2: Convert to fraction form
    12,025.50/18,036.06 = 5,450.16/x
  3. Step 3: Cross multiply
    12,025.50x = 18,036.06 × 5,450.16
  4. Step 4: Simplify right side
    12,025.50x = 98,299,412.77
  5. Step 5: Solve for x
    x = 98,299,412.77/12,025.50
  6. Step 6: Final answer
    x = 8,174.25

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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.