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Finding the Fourth Proportional to 19,096.36, 28,643.10 and 5,245

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Solution

The fourth proportional to 19,096.36, 28,643.10 and 5,245 is: 7,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.36 : 28,643.10 = 5,245 : x
  2. Step 2: Convert to fraction form
    19,096.36/28,643.10 = 5,245/x
  3. Step 3: Cross multiply
    19,096.36x = 28,643.10 × 5,245
  4. Step 4: Simplify right side
    19,096.36x = 150,233,059.50
  5. Step 5: Solve for x
    x = 150,233,059.50/19,096.36
  6. Step 6: Final answer
    x = 7,867.10

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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.