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Finding the Fourth Proportional to 12,916.16, 17,707.84 and 12,682.88

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Solution

The fourth proportional to 12,916.16, 17,707.84 and 12,682.88 is: 17,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.16 : 17,707.84 = 12,682.88 : x
  2. Step 2: Convert to fraction form
    12,916.16/17,707.84 = 12,682.88/x
  3. Step 3: Cross multiply
    12,916.16x = 17,707.84 × 12,682.88
  4. Step 4: Simplify right side
    12,916.16x = 224,586,409.78
  5. Step 5: Solve for x
    x = 224,586,409.78/12,916.16
  6. Step 6: Final answer
    x = 17,388.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.