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Finding the Fourth Proportional to 18,586.60, 27,870.67 and 6,739.90

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Solution

The fourth proportional to 18,586.60, 27,870.67 and 6,739.90 is: 10,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,586.60 : 27,870.67 = 6,739.90 : x
  2. Step 2: Convert to fraction form
    18,586.60/27,870.67 = 6,739.90/x
  3. Step 3: Cross multiply
    18,586.60x = 27,870.67 × 6,739.90
  4. Step 4: Simplify right side
    18,586.60x = 187,845,528.73
  5. Step 5: Solve for x
    x = 187,845,528.73/18,586.60
  6. Step 6: Final answer
    x = 10,106.50

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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.