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Finding the Fourth Proportional to 13,510.19, 20,265.28 and 3,649.46

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Solution

The fourth proportional to 13,510.19, 20,265.28 and 3,649.46 is: 5,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.19 : 20,265.28 = 3,649.46 : x
  2. Step 2: Convert to fraction form
    13,510.19/20,265.28 = 3,649.46/x
  3. Step 3: Cross multiply
    13,510.19x = 20,265.28 × 3,649.46
  4. Step 4: Simplify right side
    13,510.19x = 73,957,218.30
  5. Step 5: Solve for x
    x = 73,957,218.30/13,510.19
  6. Step 6: Final answer
    x = 5,474.18

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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.