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Finding the Fourth Proportional to 21,431.88, 32,125.80 and 8,959.20

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Solution

The fourth proportional to 21,431.88, 32,125.80 and 8,959.20 is: 13,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.88 : 32,125.80 = 8,959.20 : x
  2. Step 2: Convert to fraction form
    21,431.88/32,125.80 = 8,959.20/x
  3. Step 3: Cross multiply
    21,431.88x = 32,125.80 × 8,959.20
  4. Step 4: Simplify right side
    21,431.88x = 287,821,467.36
  5. Step 5: Solve for x
    x = 287,821,467.36/21,431.88
  6. Step 6: Final answer
    x = 13,429.59

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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.