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Finding the Fourth Proportional to 12,075, 18,114.12 and 5,151.12

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Solution

The fourth proportional to 12,075, 18,114.12 and 5,151.12 is: 7,727.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075 : 18,114.12 = 5,151.12 : x
  2. Step 2: Convert to fraction form
    12,075/18,114.12 = 5,151.12/x
  3. Step 3: Cross multiply
    12,075x = 18,114.12 × 5,151.12
  4. Step 4: Simplify right side
    12,075x = 93,308,005.81
  5. Step 5: Solve for x
    x = 93,308,005.81/12,075
  6. Step 6: Final answer
    x = 7,727.37

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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.