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Finding the Fourth Proportional to 26,422.60, 39,639.07 and 9,782.78

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Solution

The fourth proportional to 26,422.60, 39,639.07 and 9,782.78 is: 14,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422.60 : 39,639.07 = 9,782.78 : x
  2. Step 2: Convert to fraction form
    26,422.60/39,639.07 = 9,782.78/x
  3. Step 3: Cross multiply
    26,422.60x = 39,639.07 × 9,782.78
  4. Step 4: Simplify right side
    26,422.60x = 387,780,301.21
  5. Step 5: Solve for x
    x = 387,780,301.21/26,422.60
  6. Step 6: Final answer
    x = 14,676.08

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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.