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Finding the Fourth Proportional to 12,351.40, 18,527.19 and 3,586.30

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Solution

The fourth proportional to 12,351.40, 18,527.19 and 3,586.30 is: 5,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.40 : 18,527.19 = 3,586.30 : x
  2. Step 2: Convert to fraction form
    12,351.40/18,527.19 = 3,586.30/x
  3. Step 3: Cross multiply
    12,351.40x = 18,527.19 × 3,586.30
  4. Step 4: Simplify right side
    12,351.40x = 66,444,061.50
  5. Step 5: Solve for x
    x = 66,444,061.50/12,351.40
  6. Step 6: Final answer
    x = 5,379.48

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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.