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Finding the Fourth Proportional to 13,017.54, 19,537.24 and 5,627.64

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Solution

The fourth proportional to 13,017.54, 19,537.24 and 5,627.64 is: 8,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.54 : 19,537.24 = 5,627.64 : x
  2. Step 2: Convert to fraction form
    13,017.54/19,537.24 = 5,627.64/x
  3. Step 3: Cross multiply
    13,017.54x = 19,537.24 × 5,627.64
  4. Step 4: Simplify right side
    13,017.54x = 109,948,553.31
  5. Step 5: Solve for x
    x = 109,948,553.31/13,017.54
  6. Step 6: Final answer
    x = 8,446.19

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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.