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Finding the Fourth Proportional to 13,515, 18,650.49 and 7,546.76

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Solution

The fourth proportional to 13,515, 18,650.49 and 7,546.76 is: 10,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515 : 18,650.49 = 7,546.76 : x
  2. Step 2: Convert to fraction form
    13,515/18,650.49 = 7,546.76/x
  3. Step 3: Cross multiply
    13,515x = 18,650.49 × 7,546.76
  4. Step 4: Simplify right side
    13,515x = 140,750,678.66
  5. Step 5: Solve for x
    x = 140,750,678.66/13,515
  6. Step 6: Final answer
    x = 10,414.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.