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Finding the Fourth Proportional to 12,170.36, 16,786.74 and 7,457

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Solution

The fourth proportional to 12,170.36, 16,786.74 and 7,457 is: 10,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.36 : 16,786.74 = 7,457 : x
  2. Step 2: Convert to fraction form
    12,170.36/16,786.74 = 7,457/x
  3. Step 3: Cross multiply
    12,170.36x = 16,786.74 × 7,457
  4. Step 4: Simplify right side
    12,170.36x = 125,178,720.18
  5. Step 5: Solve for x
    x = 125,178,720.18/12,170.36
  6. Step 6: Final answer
    x = 10,285.54

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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.