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Finding the Fourth Proportional to 12,075.32, 18,086.22 and 9,281.42

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Solution

The fourth proportional to 12,075.32, 18,086.22 and 9,281.42 is: 13,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.32 : 18,086.22 = 9,281.42 : x
  2. Step 2: Convert to fraction form
    12,075.32/18,086.22 = 9,281.42/x
  3. Step 3: Cross multiply
    12,075.32x = 18,086.22 × 9,281.42
  4. Step 4: Simplify right side
    12,075.32x = 167,865,804.03
  5. Step 5: Solve for x
    x = 167,865,804.03/12,075.32
  6. Step 6: Final answer
    x = 13,901.56

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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.