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Finding the Fourth Proportional to 21,114.72, 31,718.16 and 12,912.48

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Solution

The fourth proportional to 21,114.72, 31,718.16 and 12,912.48 is: 19,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.72 : 31,718.16 = 12,912.48 : x
  2. Step 2: Convert to fraction form
    21,114.72/31,718.16 = 12,912.48/x
  3. Step 3: Cross multiply
    21,114.72x = 31,718.16 × 12,912.48
  4. Step 4: Simplify right side
    21,114.72x = 409,560,106.64
  5. Step 5: Solve for x
    x = 409,560,106.64/21,114.72
  6. Step 6: Final answer
    x = 19,396.90

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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.