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Finding the Fourth Proportional to 18,427.50, 27,641.55 and 6,740.64

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Solution

The fourth proportional to 18,427.50, 27,641.55 and 6,740.64 is: 10,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427.50 : 27,641.55 = 6,740.64 : x
  2. Step 2: Convert to fraction form
    18,427.50/27,641.55 = 6,740.64/x
  3. Step 3: Cross multiply
    18,427.50x = 27,641.55 × 6,740.64
  4. Step 4: Simplify right side
    18,427.50x = 186,321,737.59
  5. Step 5: Solve for x
    x = 186,321,737.59/18,427.50
  6. Step 6: Final answer
    x = 10,111.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.