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Finding the Fourth Proportional to 12,412.72, 17,133.96 and 8,222.32

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Solution

The fourth proportional to 12,412.72, 17,133.96 and 8,222.32 is: 11,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.72 : 17,133.96 = 8,222.32 : x
  2. Step 2: Convert to fraction form
    12,412.72/17,133.96 = 8,222.32/x
  3. Step 3: Cross multiply
    12,412.72x = 17,133.96 × 8,222.32
  4. Step 4: Simplify right side
    12,412.72x = 140,880,901.99
  5. Step 5: Solve for x
    x = 140,880,901.99/12,412.72
  6. Step 6: Final answer
    x = 11,349.72

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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.