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Finding the Fourth Proportional to 27,075.97, 40,615.02 and 8,354.34

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Solution

The fourth proportional to 27,075.97, 40,615.02 and 8,354.34 is: 12,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,075.97 : 40,615.02 = 8,354.34 : x
  2. Step 2: Convert to fraction form
    27,075.97/40,615.02 = 8,354.34/x
  3. Step 3: Cross multiply
    27,075.97x = 40,615.02 × 8,354.34
  4. Step 4: Simplify right side
    27,075.97x = 339,311,686.19
  5. Step 5: Solve for x
    x = 339,311,686.19/27,075.97
  6. Step 6: Final answer
    x = 12,531.84

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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.