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Finding the Fourth Proportional to 21,946.83, 32,912.46 and 7,903.09

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Solution

The fourth proportional to 21,946.83, 32,912.46 and 7,903.09 is: 11,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946.83 : 32,912.46 = 7,903.09 : x
  2. Step 2: Convert to fraction form
    21,946.83/32,912.46 = 7,903.09/x
  3. Step 3: Cross multiply
    21,946.83x = 32,912.46 × 7,903.09
  4. Step 4: Simplify right side
    21,946.83x = 260,110,133.50
  5. Step 5: Solve for x
    x = 260,110,133.50/21,946.83
  6. Step 6: Final answer
    x = 11,851.83

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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.