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Finding the Fourth Proportional to 12,435.46, 18,653.19 and 3,075.64

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Solution

The fourth proportional to 12,435.46, 18,653.19 and 3,075.64 is: 4,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.46 : 18,653.19 = 3,075.64 : x
  2. Step 2: Convert to fraction form
    12,435.46/18,653.19 = 3,075.64/x
  3. Step 3: Cross multiply
    12,435.46x = 18,653.19 × 3,075.64
  4. Step 4: Simplify right side
    12,435.46x = 57,370,439.12
  5. Step 5: Solve for x
    x = 57,370,439.12/12,435.46
  6. Step 6: Final answer
    x = 4,613.46

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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.