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Finding the Fourth Proportional to 12,389.40, 17,097.24 and 6,724.14

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Solution

The fourth proportional to 12,389.40, 17,097.24 and 6,724.14 is: 9,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.40 : 17,097.24 = 6,724.14 : x
  2. Step 2: Convert to fraction form
    12,389.40/17,097.24 = 6,724.14/x
  3. Step 3: Cross multiply
    12,389.40x = 17,097.24 × 6,724.14
  4. Step 4: Simplify right side
    12,389.40x = 114,964,235.37
  5. Step 5: Solve for x
    x = 114,964,235.37/12,389.40
  6. Step 6: Final answer
    x = 9,279.24

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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.