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Finding the Fourth Proportional to 13,230.80, 19,842.11 and 5,333.00

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Solution

The fourth proportional to 13,230.80, 19,842.11 and 5,333.00 is: 7,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.80 : 19,842.11 = 5,333.00 : x
  2. Step 2: Convert to fraction form
    13,230.80/19,842.11 = 5,333.00/x
  3. Step 3: Cross multiply
    13,230.80x = 19,842.11 × 5,333.00
  4. Step 4: Simplify right side
    13,230.80x = 105,817,846.75
  5. Step 5: Solve for x
    x = 105,817,846.75/13,230.80
  6. Step 6: Final answer
    x = 7,997.84

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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.