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Finding the Fourth Proportional to 26,464.60, 39,700.54 and 9,823.22

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Solution

The fourth proportional to 26,464.60, 39,700.54 and 9,823.22 is: 14,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,464.60 : 39,700.54 = 9,823.22 : x
  2. Step 2: Convert to fraction form
    26,464.60/39,700.54 = 9,823.22/x
  3. Step 3: Cross multiply
    26,464.60x = 39,700.54 × 9,823.22
  4. Step 4: Simplify right side
    26,464.60x = 389,987,138.54
  5. Step 5: Solve for x
    x = 389,987,138.54/26,464.60
  6. Step 6: Final answer
    x = 14,736.18

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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.