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Finding the Fourth Proportional to 16,738.37, 25,091.23 and 7,970.93

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Solution

The fourth proportional to 16,738.37, 25,091.23 and 7,970.93 is: 11,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.37 : 25,091.23 = 7,970.93 : x
  2. Step 2: Convert to fraction form
    16,738.37/25,091.23 = 7,970.93/x
  3. Step 3: Cross multiply
    16,738.37x = 25,091.23 × 7,970.93
  4. Step 4: Simplify right side
    16,738.37x = 200,000,437.94
  5. Step 5: Solve for x
    x = 200,000,437.94/16,738.37
  6. Step 6: Final answer
    x = 11,948.62

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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.