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Finding the Fourth Proportional to 18,625.50, 25,703.24 and 10,242

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Solution

The fourth proportional to 18,625.50, 25,703.24 and 10,242 is: 14,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,625.50 : 25,703.24 = 10,242 : x
  2. Step 2: Convert to fraction form
    18,625.50/25,703.24 = 10,242/x
  3. Step 3: Cross multiply
    18,625.50x = 25,703.24 × 10,242
  4. Step 4: Simplify right side
    18,625.50x = 263,252,532.87
  5. Step 5: Solve for x
    x = 263,252,532.87/18,625.50
  6. Step 6: Final answer
    x = 14,133.98

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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.