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Finding the Fourth Proportional to 13,738.86, 18,952.65 and 8,694.58

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Solution

The fourth proportional to 13,738.86, 18,952.65 and 8,694.58 is: 11,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.86 : 18,952.65 = 8,694.58 : x
  2. Step 2: Convert to fraction form
    13,738.86/18,952.65 = 8,694.58/x
  3. Step 3: Cross multiply
    13,738.86x = 18,952.65 × 8,694.58
  4. Step 4: Simplify right side
    13,738.86x = 164,785,331.64
  5. Step 5: Solve for x
    x = 164,785,331.64/13,738.86
  6. Step 6: Final answer
    x = 11,994.11

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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.