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Finding the Fourth Proportional to 13,664.14, 18,859.48 and 8,075.98

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Solution

The fourth proportional to 13,664.14, 18,859.48 and 8,075.98 is: 11,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.14 : 18,859.48 = 8,075.98 : x
  2. Step 2: Convert to fraction form
    13,664.14/18,859.48 = 8,075.98/x
  3. Step 3: Cross multiply
    13,664.14x = 18,859.48 × 8,075.98
  4. Step 4: Simplify right side
    13,664.14x = 152,308,783.29
  5. Step 5: Solve for x
    x = 152,308,783.29/13,664.14
  6. Step 6: Final answer
    x = 11,146.61

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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.