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Finding the Fourth Proportional to 26,406.16, 39,629.22 and 9,776.32

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Solution

The fourth proportional to 26,406.16, 39,629.22 and 9,776.32 is: 14,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406.16 : 39,629.22 = 9,776.32 : x
  2. Step 2: Convert to fraction form
    26,406.16/39,629.22 = 9,776.32/x
  3. Step 3: Cross multiply
    26,406.16x = 39,629.22 × 9,776.32
  4. Step 4: Simplify right side
    26,406.16x = 387,427,936.07
  5. Step 5: Solve for x
    x = 387,427,936.07/26,406.16
  6. Step 6: Final answer
    x = 14,671.88

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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.