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Finding the Fourth Proportional to 15,758.42, 21,777.96 and 12,921.39

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Solution

The fourth proportional to 15,758.42, 21,777.96 and 12,921.39 is: 17,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.42 : 21,777.96 = 12,921.39 : x
  2. Step 2: Convert to fraction form
    15,758.42/21,777.96 = 12,921.39/x
  3. Step 3: Cross multiply
    15,758.42x = 21,777.96 × 12,921.39
  4. Step 4: Simplify right side
    15,758.42x = 281,401,563.02
  5. Step 5: Solve for x
    x = 281,401,563.02/15,758.42
  6. Step 6: Final answer
    x = 17,857.23

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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.