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Finding the Fourth Proportional to 13,420.33, 18,520.11 and 7,451.98

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Solution

The fourth proportional to 13,420.33, 18,520.11 and 7,451.98 is: 10,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.33 : 18,520.11 = 7,451.98 : x
  2. Step 2: Convert to fraction form
    13,420.33/18,520.11 = 7,451.98/x
  3. Step 3: Cross multiply
    13,420.33x = 18,520.11 × 7,451.98
  4. Step 4: Simplify right side
    13,420.33x = 138,011,443.02
  5. Step 5: Solve for x
    x = 138,011,443.02/13,420.33
  6. Step 6: Final answer
    x = 10,283.76

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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.