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Finding the Fourth Proportional to 12,641.41, 18,959.95 and 3,405.25

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Solution

The fourth proportional to 12,641.41, 18,959.95 and 3,405.25 is: 5,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.41 : 18,959.95 = 3,405.25 : x
  2. Step 2: Convert to fraction form
    12,641.41/18,959.95 = 3,405.25/x
  3. Step 3: Cross multiply
    12,641.41x = 18,959.95 × 3,405.25
  4. Step 4: Simplify right side
    12,641.41x = 64,563,369.74
  5. Step 5: Solve for x
    x = 64,563,369.74/12,641.41
  6. Step 6: Final answer
    x = 5,107.29

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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.