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Finding the Fourth Proportional to 12,213.96, 16,858.50 and 8,437.80

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Solution

The fourth proportional to 12,213.96, 16,858.50 and 8,437.80 is: 11,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.96 : 16,858.50 = 8,437.80 : x
  2. Step 2: Convert to fraction form
    12,213.96/16,858.50 = 8,437.80/x
  3. Step 3: Cross multiply
    12,213.96x = 16,858.50 × 8,437.80
  4. Step 4: Simplify right side
    12,213.96x = 142,248,651.30
  5. Step 5: Solve for x
    x = 142,248,651.30/12,213.96
  6. Step 6: Final answer
    x = 11,646.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.