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Finding the Fourth Proportional to 14,162.54, 21,230.54 and 4,796.02

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Solution

The fourth proportional to 14,162.54, 21,230.54 and 4,796.02 is: 7,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.54 : 21,230.54 = 4,796.02 : x
  2. Step 2: Convert to fraction form
    14,162.54/21,230.54 = 4,796.02/x
  3. Step 3: Cross multiply
    14,162.54x = 21,230.54 × 4,796.02
  4. Step 4: Simplify right side
    14,162.54x = 101,822,094.45
  5. Step 5: Solve for x
    x = 101,822,094.45/14,162.54
  6. Step 6: Final answer
    x = 7,189.54

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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.