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Finding the Fourth Proportional to 26,007.75, 39,005.10 and 7,282.94

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Solution

The fourth proportional to 26,007.75, 39,005.10 and 7,282.94 is: 10,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,007.75 : 39,005.10 = 7,282.94 : x
  2. Step 2: Convert to fraction form
    26,007.75/39,005.10 = 7,282.94/x
  3. Step 3: Cross multiply
    26,007.75x = 39,005.10 × 7,282.94
  4. Step 4: Simplify right side
    26,007.75x = 284,071,607.97
  5. Step 5: Solve for x
    x = 284,071,607.97/26,007.75
  6. Step 6: Final answer
    x = 10,922.58

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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.