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Finding the Fourth Proportional to 23,804.45, 35,706.50 and 7,164.41

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Solution

The fourth proportional to 23,804.45, 35,706.50 and 7,164.41 is: 10,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.45 : 35,706.50 = 7,164.41 : x
  2. Step 2: Convert to fraction form
    23,804.45/35,706.50 = 7,164.41/x
  3. Step 3: Cross multiply
    23,804.45x = 35,706.50 × 7,164.41
  4. Step 4: Simplify right side
    23,804.45x = 255,815,969.84
  5. Step 5: Solve for x
    x = 255,815,969.84/23,804.45
  6. Step 6: Final answer
    x = 10,746.56

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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.