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Finding the Fourth Proportional to 12,697.63, 17,518.67 and 8,224.81

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Solution

The fourth proportional to 12,697.63, 17,518.67 and 8,224.81 is: 11,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.63 : 17,518.67 = 8,224.81 : x
  2. Step 2: Convert to fraction form
    12,697.63/17,518.67 = 8,224.81/x
  3. Step 3: Cross multiply
    12,697.63x = 17,518.67 × 8,224.81
  4. Step 4: Simplify right side
    12,697.63x = 144,087,732.20
  5. Step 5: Solve for x
    x = 144,087,732.20/12,697.63
  6. Step 6: Final answer
    x = 11,347.61

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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.