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Finding the Fourth Proportional to 13,029.98, 17,980.50 and 8,313.76

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Solution

The fourth proportional to 13,029.98, 17,980.50 and 8,313.76 is: 11,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.98 : 17,980.50 = 8,313.76 : x
  2. Step 2: Convert to fraction form
    13,029.98/17,980.50 = 8,313.76/x
  3. Step 3: Cross multiply
    13,029.98x = 17,980.50 × 8,313.76
  4. Step 4: Simplify right side
    13,029.98x = 149,485,561.68
  5. Step 5: Solve for x
    x = 149,485,561.68/13,029.98
  6. Step 6: Final answer
    x = 11,472.43

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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.