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Finding the Fourth Proportional to 12,340.42, 18,511.62 and 4,020.28

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Solution

The fourth proportional to 12,340.42, 18,511.62 and 4,020.28 is: 6,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.42 : 18,511.62 = 4,020.28 : x
  2. Step 2: Convert to fraction form
    12,340.42/18,511.62 = 4,020.28/x
  3. Step 3: Cross multiply
    12,340.42x = 18,511.62 × 4,020.28
  4. Step 4: Simplify right side
    12,340.42x = 74,421,895.65
  5. Step 5: Solve for x
    x = 74,421,895.65/12,340.42
  6. Step 6: Final answer
    x = 6,030.74

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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.