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Finding the Fourth Proportional to 13,722.98, 20,586.38 and 4,362

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Solution

The fourth proportional to 13,722.98, 20,586.38 and 4,362 is: 6,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.98 : 20,586.38 = 4,362 : x
  2. Step 2: Convert to fraction form
    13,722.98/20,586.38 = 4,362/x
  3. Step 3: Cross multiply
    13,722.98x = 20,586.38 × 4,362
  4. Step 4: Simplify right side
    13,722.98x = 89,797,767.75
  5. Step 5: Solve for x
    x = 89,797,767.75/13,722.98
  6. Step 6: Final answer
    x = 6,543.61

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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.