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Finding the Fourth Proportional to 23,625.60, 35,438.40 and 23,164.80

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Solution

The fourth proportional to 23,625.60, 35,438.40 and 23,164.80 is: 34,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625.60 : 35,438.40 = 23,164.80 : x
  2. Step 2: Convert to fraction form
    23,625.60/35,438.40 = 23,164.80/x
  3. Step 3: Cross multiply
    23,625.60x = 35,438.40 × 23,164.80
  4. Step 4: Simplify right side
    23,625.60x = 820,923,448.32
  5. Step 5: Solve for x
    x = 820,923,448.32/23,625.60
  6. Step 6: Final answer
    x = 34,747.20

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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.