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Finding the Fourth Proportional to 16,914.62, 23,344 and 9,844.94

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Solution

The fourth proportional to 16,914.62, 23,344 and 9,844.94 is: 13,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.62 : 23,344 = 9,844.94 : x
  2. Step 2: Convert to fraction form
    16,914.62/23,344 = 9,844.94/x
  3. Step 3: Cross multiply
    16,914.62x = 23,344 × 9,844.94
  4. Step 4: Simplify right side
    16,914.62x = 229,820,279.36
  5. Step 5: Solve for x
    x = 229,820,279.36/16,914.62
  6. Step 6: Final answer
    x = 13,587.08

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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.