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Finding the Fourth Proportional to 13,641.94, 18,824.56 and 8,342.11

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Solution

The fourth proportional to 13,641.94, 18,824.56 and 8,342.11 is: 11,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.94 : 18,824.56 = 8,342.11 : x
  2. Step 2: Convert to fraction form
    13,641.94/18,824.56 = 8,342.11/x
  3. Step 3: Cross multiply
    13,641.94x = 18,824.56 × 8,342.11
  4. Step 4: Simplify right side
    13,641.94x = 157,036,550.22
  5. Step 5: Solve for x
    x = 157,036,550.22/13,641.94
  6. Step 6: Final answer
    x = 11,511.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.