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Finding the Fourth Proportional to 13,183.96, 19,758.12 and 12,343.16

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Solution

The fourth proportional to 13,183.96, 19,758.12 and 12,343.16 is: 18,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.96 : 19,758.12 = 12,343.16 : x
  2. Step 2: Convert to fraction form
    13,183.96/19,758.12 = 12,343.16/x
  3. Step 3: Cross multiply
    13,183.96x = 19,758.12 × 12,343.16
  4. Step 4: Simplify right side
    13,183.96x = 243,877,636.46
  5. Step 5: Solve for x
    x = 243,877,636.46/13,183.96
  6. Step 6: Final answer
    x = 18,498.06

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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.