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Finding the Fourth Proportional to 14,081.64, 19,409.46 and 9,994.85

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Solution

The fourth proportional to 14,081.64, 19,409.46 and 9,994.85 is: 13,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.64 : 19,409.46 = 9,994.85 : x
  2. Step 2: Convert to fraction form
    14,081.64/19,409.46 = 9,994.85/x
  3. Step 3: Cross multiply
    14,081.64x = 19,409.46 × 9,994.85
  4. Step 4: Simplify right side
    14,081.64x = 193,994,641.28
  5. Step 5: Solve for x
    x = 193,994,641.28/14,081.64
  6. Step 6: Final answer
    x = 13,776.42

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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.