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Finding the Fourth Proportional to 12,096.34, 18,151.52 and 5,075.72

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Solution

The fourth proportional to 12,096.34, 18,151.52 and 5,075.72 is: 7,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.34 : 18,151.52 = 5,075.72 : x
  2. Step 2: Convert to fraction form
    12,096.34/18,151.52 = 5,075.72/x
  3. Step 3: Cross multiply
    12,096.34x = 18,151.52 × 5,075.72
  4. Step 4: Simplify right side
    12,096.34x = 92,132,033.09
  5. Step 5: Solve for x
    x = 92,132,033.09/12,096.34
  6. Step 6: Final answer
    x = 7,616.52

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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.