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Finding the Fourth Proportional to 12,546.93, 18,710.75 and 10,994.16

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Solution

The fourth proportional to 12,546.93, 18,710.75 and 10,994.16 is: 16,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.93 : 18,710.75 = 10,994.16 : x
  2. Step 2: Convert to fraction form
    12,546.93/18,710.75 = 10,994.16/x
  3. Step 3: Cross multiply
    12,546.93x = 18,710.75 × 10,994.16
  4. Step 4: Simplify right side
    12,546.93x = 205,708,924.25
  5. Step 5: Solve for x
    x = 205,708,924.25/12,546.93
  6. Step 6: Final answer
    x = 16,395.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.