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Finding the Fourth Proportional to 23,557.62, 32,478.06 and 20,185.98

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Solution

The fourth proportional to 23,557.62, 32,478.06 and 20,185.98 is: 27,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.62 : 32,478.06 = 20,185.98 : x
  2. Step 2: Convert to fraction form
    23,557.62/32,478.06 = 20,185.98/x
  3. Step 3: Cross multiply
    23,557.62x = 32,478.06 × 20,185.98
  4. Step 4: Simplify right side
    23,557.62x = 655,601,469.60
  5. Step 5: Solve for x
    x = 655,601,469.60/23,557.62
  6. Step 6: Final answer
    x = 27,829.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.