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Finding the Fourth Proportional to 13,510.18, 20,232.33 and 7,649.02

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Solution

The fourth proportional to 13,510.18, 20,232.33 and 7,649.02 is: 11,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.18 : 20,232.33 = 7,649.02 : x
  2. Step 2: Convert to fraction form
    13,510.18/20,232.33 = 7,649.02/x
  3. Step 3: Cross multiply
    13,510.18x = 20,232.33 × 7,649.02
  4. Step 4: Simplify right side
    13,510.18x = 154,757,496.82
  5. Step 5: Solve for x
    x = 154,757,496.82/13,510.18
  6. Step 6: Final answer
    x = 11,454.88

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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.