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Finding the Fourth Proportional to 15,509.81, 23,264.96 and 3,823.03

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Solution

The fourth proportional to 15,509.81, 23,264.96 and 3,823.03 is: 5,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.81 : 23,264.96 = 3,823.03 : x
  2. Step 2: Convert to fraction form
    15,509.81/23,264.96 = 3,823.03/x
  3. Step 3: Cross multiply
    15,509.81x = 23,264.96 × 3,823.03
  4. Step 4: Simplify right side
    15,509.81x = 88,942,649.99
  5. Step 5: Solve for x
    x = 88,942,649.99/15,509.81
  6. Step 6: Final answer
    x = 5,734.61

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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.