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Finding the Fourth Proportional to 26,380.40, 39,566.32 and 9,748.26

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Solution

The fourth proportional to 26,380.40, 39,566.32 and 9,748.26 is: 14,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.40 : 39,566.32 = 9,748.26 : x
  2. Step 2: Convert to fraction form
    26,380.40/39,566.32 = 9,748.26/x
  3. Step 3: Cross multiply
    26,380.40x = 39,566.32 × 9,748.26
  4. Step 4: Simplify right side
    26,380.40x = 385,702,750.23
  5. Step 5: Solve for x
    x = 385,702,750.23/26,380.40
  6. Step 6: Final answer
    x = 14,620.81

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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.