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Finding the Fourth Proportional to 12,650.06, 17,457.65 and 7,274.24

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Solution

The fourth proportional to 12,650.06, 17,457.65 and 7,274.24 is: 10,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.06 : 17,457.65 = 7,274.24 : x
  2. Step 2: Convert to fraction form
    12,650.06/17,457.65 = 7,274.24/x
  3. Step 3: Cross multiply
    12,650.06x = 17,457.65 × 7,274.24
  4. Step 4: Simplify right side
    12,650.06x = 126,991,135.94
  5. Step 5: Solve for x
    x = 126,991,135.94/12,650.06
  6. Step 6: Final answer
    x = 10,038.78

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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.