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Finding the Fourth Proportional to 26,381.60, 39,566 and 8,846.88

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Solution

The fourth proportional to 26,381.60, 39,566 and 8,846.88 is: 13,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,381.60 : 39,566 = 8,846.88 : x
  2. Step 2: Convert to fraction form
    26,381.60/39,566 = 8,846.88/x
  3. Step 3: Cross multiply
    26,381.60x = 39,566 × 8,846.88
  4. Step 4: Simplify right side
    26,381.60x = 350,035,654.08
  5. Step 5: Solve for x
    x = 350,035,654.08/26,381.60
  6. Step 6: Final answer
    x = 13,268.17

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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.