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Finding the Fourth Proportional to 23,810.44, 35,722.80 and 7,171.02

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Solution

The fourth proportional to 23,810.44, 35,722.80 and 7,171.02 is: 10,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.44 : 35,722.80 = 7,171.02 : x
  2. Step 2: Convert to fraction form
    23,810.44/35,722.80 = 7,171.02/x
  3. Step 3: Cross multiply
    23,810.44x = 35,722.80 × 7,171.02
  4. Step 4: Simplify right side
    23,810.44x = 256,168,913.26
  5. Step 5: Solve for x
    x = 256,168,913.26/23,810.44
  6. Step 6: Final answer
    x = 10,758.68

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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.