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Finding the Fourth Proportional to 23,804.28, 35,710.07 and 7,162.12

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Solution

The fourth proportional to 23,804.28, 35,710.07 and 7,162.12 is: 10,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.28 : 35,710.07 = 7,162.12 : x
  2. Step 2: Convert to fraction form
    23,804.28/35,710.07 = 7,162.12/x
  3. Step 3: Cross multiply
    23,804.28x = 35,710.07 × 7,162.12
  4. Step 4: Simplify right side
    23,804.28x = 255,759,815.38
  5. Step 5: Solve for x
    x = 255,759,815.38/23,804.28
  6. Step 6: Final answer
    x = 10,744.28

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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.