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Finding the Fourth Proportional to 12,398.19, 17,111.06 and 7,683.18

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Solution

The fourth proportional to 12,398.19, 17,111.06 and 7,683.18 is: 10,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.19 : 17,111.06 = 7,683.18 : x
  2. Step 2: Convert to fraction form
    12,398.19/17,111.06 = 7,683.18/x
  3. Step 3: Cross multiply
    12,398.19x = 17,111.06 × 7,683.18
  4. Step 4: Simplify right side
    12,398.19x = 131,467,353.97
  5. Step 5: Solve for x
    x = 131,467,353.97/12,398.19
  6. Step 6: Final answer
    x = 10,603.75

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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.