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Finding the Fourth Proportional to 21,867.88, 32,798.31 and 7,825.30

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Solution

The fourth proportional to 21,867.88, 32,798.31 and 7,825.30 is: 11,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867.88 : 32,798.31 = 7,825.30 : x
  2. Step 2: Convert to fraction form
    21,867.88/32,798.31 = 7,825.30/x
  3. Step 3: Cross multiply
    21,867.88x = 32,798.31 × 7,825.30
  4. Step 4: Simplify right side
    21,867.88x = 256,656,615.24
  5. Step 5: Solve for x
    x = 256,656,615.24/21,867.88
  6. Step 6: Final answer
    x = 11,736.69

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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.