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Finding the Fourth Proportional to 26,475.78, 39,702 and 12,439.80

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Solution

The fourth proportional to 26,475.78, 39,702 and 12,439.80 is: 18,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,475.78 : 39,702 = 12,439.80 : x
  2. Step 2: Convert to fraction form
    26,475.78/39,702 = 12,439.80/x
  3. Step 3: Cross multiply
    26,475.78x = 39,702 × 12,439.80
  4. Step 4: Simplify right side
    26,475.78x = 493,884,939.60
  5. Step 5: Solve for x
    x = 493,884,939.60/26,475.78
  6. Step 6: Final answer
    x = 18,654.22

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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.