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Finding the Fourth Proportional to 21,964.50, 32,946.54 and 7,173.36

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Solution

The fourth proportional to 21,964.50, 32,946.54 and 7,173.36 is: 10,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.50 : 32,946.54 = 7,173.36 : x
  2. Step 2: Convert to fraction form
    21,964.50/32,946.54 = 7,173.36/x
  3. Step 3: Cross multiply
    21,964.50x = 32,946.54 × 7,173.36
  4. Step 4: Simplify right side
    21,964.50x = 236,337,392.17
  5. Step 5: Solve for x
    x = 236,337,392.17/21,964.50
  6. Step 6: Final answer
    x = 10,759.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.