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Finding the Fourth Proportional to 16,343.22, 24,513.90 and 4,656.14

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Solution

The fourth proportional to 16,343.22, 24,513.90 and 4,656.14 is: 6,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.22 : 24,513.90 = 4,656.14 : x
  2. Step 2: Convert to fraction form
    16,343.22/24,513.90 = 4,656.14/x
  3. Step 3: Cross multiply
    16,343.22x = 24,513.90 × 4,656.14
  4. Step 4: Simplify right side
    16,343.22x = 114,140,027.78
  5. Step 5: Solve for x
    x = 114,140,027.78/16,343.22
  6. Step 6: Final answer
    x = 6,983.94

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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.