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Finding the Fourth Proportional to 18,075.09, 27,116.73 and 9,754.86

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Solution

The fourth proportional to 18,075.09, 27,116.73 and 9,754.86 is: 14,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,075.09 : 27,116.73 = 9,754.86 : x
  2. Step 2: Convert to fraction form
    18,075.09/27,116.73 = 9,754.86/x
  3. Step 3: Cross multiply
    18,075.09x = 27,116.73 × 9,754.86
  4. Step 4: Simplify right side
    18,075.09x = 264,519,904.81
  5. Step 5: Solve for x
    x = 264,519,904.81/18,075.09
  6. Step 6: Final answer
    x = 14,634.50

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Why These Related Problems?

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