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Finding the Fourth Proportional to 12,606.36, 17,396.10 and 7,017

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Solution

The fourth proportional to 12,606.36, 17,396.10 and 7,017 is: 9,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.36 : 17,396.10 = 7,017 : x
  2. Step 2: Convert to fraction form
    12,606.36/17,396.10 = 7,017/x
  3. Step 3: Cross multiply
    12,606.36x = 17,396.10 × 7,017
  4. Step 4: Simplify right side
    12,606.36x = 122,068,433.70
  5. Step 5: Solve for x
    x = 122,068,433.70/12,606.36
  6. Step 6: Final answer
    x = 9,683.08

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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.