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Finding the Fourth Proportional to 14,586.70, 21,861.60 and 9,319.68

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Solution

The fourth proportional to 14,586.70, 21,861.60 and 9,319.68 is: 13,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.70 : 21,861.60 = 9,319.68 : x
  2. Step 2: Convert to fraction form
    14,586.70/21,861.60 = 9,319.68/x
  3. Step 3: Cross multiply
    14,586.70x = 21,861.60 × 9,319.68
  4. Step 4: Simplify right side
    14,586.70x = 203,743,116.29
  5. Step 5: Solve for x
    x = 203,743,116.29/14,586.70
  6. Step 6: Final answer
    x = 13,967.73

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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.