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Finding the Fourth Proportional to 12,497.14, 17,245.47 and 6,832.18

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Solution

The fourth proportional to 12,497.14, 17,245.47 and 6,832.18 is: 9,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.14 : 17,245.47 = 6,832.18 : x
  2. Step 2: Convert to fraction form
    12,497.14/17,245.47 = 6,832.18/x
  3. Step 3: Cross multiply
    12,497.14x = 17,245.47 × 6,832.18
  4. Step 4: Simplify right side
    12,497.14x = 117,824,155.22
  5. Step 5: Solve for x
    x = 117,824,155.22/12,497.14
  6. Step 6: Final answer
    x = 9,428.09

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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.