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Finding the Fourth Proportional to 13,273.46, 19,898.31 and 5,477.30

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Solution

The fourth proportional to 13,273.46, 19,898.31 and 5,477.30 is: 8,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,273.46 : 19,898.31 = 5,477.30 : x
  2. Step 2: Convert to fraction form
    13,273.46/19,898.31 = 5,477.30/x
  3. Step 3: Cross multiply
    13,273.46x = 19,898.31 × 5,477.30
  4. Step 4: Simplify right side
    13,273.46x = 108,989,013.36
  5. Step 5: Solve for x
    x = 108,989,013.36/13,273.46
  6. Step 6: Final answer
    x = 8,211.05

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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.