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Finding the Fourth Proportional to 13,573.31, 20,360.36 and 5,137.97

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Solution

The fourth proportional to 13,573.31, 20,360.36 and 5,137.97 is: 7,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.31 : 20,360.36 = 5,137.97 : x
  2. Step 2: Convert to fraction form
    13,573.31/20,360.36 = 5,137.97/x
  3. Step 3: Cross multiply
    13,573.31x = 20,360.36 × 5,137.97
  4. Step 4: Simplify right side
    13,573.31x = 104,610,829.91
  5. Step 5: Solve for x
    x = 104,610,829.91/13,573.31
  6. Step 6: Final answer
    x = 7,707.10

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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.