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Finding the Fourth Proportional to 13,488.72, 20,236.74 and 7,649.46

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Solution

The fourth proportional to 13,488.72, 20,236.74 and 7,649.46 is: 11,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.72 : 20,236.74 = 7,649.46 : x
  2. Step 2: Convert to fraction form
    13,488.72/20,236.74 = 7,649.46/x
  3. Step 3: Cross multiply
    13,488.72x = 20,236.74 × 7,649.46
  4. Step 4: Simplify right side
    13,488.72x = 154,800,133.16
  5. Step 5: Solve for x
    x = 154,800,133.16/13,488.72
  6. Step 6: Final answer
    x = 11,476.27

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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.