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Finding the Fourth Proportional to 21,894.98, 32,842.44 and 7,105.37

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Solution

The fourth proportional to 21,894.98, 32,842.44 and 7,105.37 is: 10,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.98 : 32,842.44 = 7,105.37 : x
  2. Step 2: Convert to fraction form
    21,894.98/32,842.44 = 7,105.37/x
  3. Step 3: Cross multiply
    21,894.98x = 32,842.44 × 7,105.37
  4. Step 4: Simplify right side
    21,894.98x = 233,357,687.90
  5. Step 5: Solve for x
    x = 233,357,687.90/21,894.98
  6. Step 6: Final answer
    x = 10,658.05

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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.