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Finding the Fourth Proportional to 15,740.37, 23,595.71 and 7,835.41

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Solution

The fourth proportional to 15,740.37, 23,595.71 and 7,835.41 is: 11,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.37 : 23,595.71 = 7,835.41 : x
  2. Step 2: Convert to fraction form
    15,740.37/23,595.71 = 7,835.41/x
  3. Step 3: Cross multiply
    15,740.37x = 23,595.71 × 7,835.41
  4. Step 4: Simplify right side
    15,740.37x = 184,882,022.91
  5. Step 5: Solve for x
    x = 184,882,022.91/15,740.37
  6. Step 6: Final answer
    x = 11,745.73

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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.