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Finding the Fourth Proportional to 13,672.72, 20,510.24 and 3,812.01

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Solution

The fourth proportional to 13,672.72, 20,510.24 and 3,812.01 is: 5,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.72 : 20,510.24 = 3,812.01 : x
  2. Step 2: Convert to fraction form
    13,672.72/20,510.24 = 3,812.01/x
  3. Step 3: Cross multiply
    13,672.72x = 20,510.24 × 3,812.01
  4. Step 4: Simplify right side
    13,672.72x = 78,185,235.22
  5. Step 5: Solve for x
    x = 78,185,235.22/13,672.72
  6. Step 6: Final answer
    x = 5,718.34

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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.