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Finding the Fourth Proportional to 21,868.01, 32,798.50 and 7,825.42

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Solution

The fourth proportional to 21,868.01, 32,798.50 and 7,825.42 is: 11,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,868.01 : 32,798.50 = 7,825.42 : x
  2. Step 2: Convert to fraction form
    21,868.01/32,798.50 = 7,825.42/x
  3. Step 3: Cross multiply
    21,868.01x = 32,798.50 × 7,825.42
  4. Step 4: Simplify right side
    21,868.01x = 256,662,059.30
  5. Step 5: Solve for x
    x = 256,662,059.30/21,868.01
  6. Step 6: Final answer
    x = 11,736.87

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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.