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Finding the Fourth Proportional to 13,076.94, 19,612.46 and 3,716.75

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Solution

The fourth proportional to 13,076.94, 19,612.46 and 3,716.75 is: 5,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.94 : 19,612.46 = 3,716.75 : x
  2. Step 2: Convert to fraction form
    13,076.94/19,612.46 = 3,716.75/x
  3. Step 3: Cross multiply
    13,076.94x = 19,612.46 × 3,716.75
  4. Step 4: Simplify right side
    13,076.94x = 72,894,669.03
  5. Step 5: Solve for x
    x = 72,894,669.03/13,076.94
  6. Step 6: Final answer
    x = 5,574.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.