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Finding the Fourth Proportional to 26,005.75, 39,007.71 and 7,285.64

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Solution

The fourth proportional to 26,005.75, 39,007.71 and 7,285.64 is: 10,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.75 : 39,007.71 = 7,285.64 : x
  2. Step 2: Convert to fraction form
    26,005.75/39,007.71 = 7,285.64/x
  3. Step 3: Cross multiply
    26,005.75x = 39,007.71 × 7,285.64
  4. Step 4: Simplify right side
    26,005.75x = 284,195,937.25
  5. Step 5: Solve for x
    x = 284,195,937.25/26,005.75
  6. Step 6: Final answer
    x = 10,928.20

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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.