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Finding the Fourth Proportional to 12,389.31, 17,111.44 and 8,159.28

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Solution

The fourth proportional to 12,389.31, 17,111.44 and 8,159.28 is: 11,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.31 : 17,111.44 = 8,159.28 : x
  2. Step 2: Convert to fraction form
    12,389.31/17,111.44 = 8,159.28/x
  3. Step 3: Cross multiply
    12,389.31x = 17,111.44 × 8,159.28
  4. Step 4: Simplify right side
    12,389.31x = 139,616,954.36
  5. Step 5: Solve for x
    x = 139,616,954.36/12,389.31
  6. Step 6: Final answer
    x = 11,269.15

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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.