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Finding the Fourth Proportional to 12,497.12, 17,245.96 and 6,908.12

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Solution

The fourth proportional to 12,497.12, 17,245.96 and 6,908.12 is: 9,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.12 : 17,245.96 = 6,908.12 : x
  2. Step 2: Convert to fraction form
    12,497.12/17,245.96 = 6,908.12/x
  3. Step 3: Cross multiply
    12,497.12x = 17,245.96 × 6,908.12
  4. Step 4: Simplify right side
    12,497.12x = 119,137,161.20
  5. Step 5: Solve for x
    x = 119,137,161.20/12,497.12
  6. Step 6: Final answer
    x = 9,533.17

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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.