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Finding the Fourth Proportional to 12,464.15, 17,193.29 and 8,215.88

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Solution

The fourth proportional to 12,464.15, 17,193.29 and 8,215.88 is: 11,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.15 : 17,193.29 = 8,215.88 : x
  2. Step 2: Convert to fraction form
    12,464.15/17,193.29 = 8,215.88/x
  3. Step 3: Cross multiply
    12,464.15x = 17,193.29 × 8,215.88
  4. Step 4: Simplify right side
    12,464.15x = 141,257,880.40
  5. Step 5: Solve for x
    x = 141,257,880.40/12,464.15
  6. Step 6: Final answer
    x = 11,333.14

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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.