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Finding the Fourth Proportional to 15,748.21, 21,731.73 and 8,674.48

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Solution

The fourth proportional to 15,748.21, 21,731.73 and 8,674.48 is: 11,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,748.21 : 21,731.73 = 8,674.48 : x
  2. Step 2: Convert to fraction form
    15,748.21/21,731.73 = 8,674.48/x
  3. Step 3: Cross multiply
    15,748.21x = 21,731.73 × 8,674.48
  4. Step 4: Simplify right side
    15,748.21x = 188,511,457.25
  5. Step 5: Solve for x
    x = 188,511,457.25/15,748.21
  6. Step 6: Final answer
    x = 11,970.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.