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Finding the Fourth Proportional to 13,173.34, 19,760.00 and 5,382.15

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Solution

The fourth proportional to 13,173.34, 19,760.00 and 5,382.15 is: 8,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.34 : 19,760.00 = 5,382.15 : x
  2. Step 2: Convert to fraction form
    13,173.34/19,760.00 = 5,382.15/x
  3. Step 3: Cross multiply
    13,173.34x = 19,760.00 × 5,382.15
  4. Step 4: Simplify right side
    13,173.34x = 106,351,248.06
  5. Step 5: Solve for x
    x = 106,351,248.06/13,173.34
  6. Step 6: Final answer
    x = 8,073.22

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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.