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Finding the Fourth Proportional to 13,537.57, 20,305.03 and 4,175.07

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Solution

The fourth proportional to 13,537.57, 20,305.03 and 4,175.07 is: 6,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.57 : 20,305.03 = 4,175.07 : x
  2. Step 2: Convert to fraction form
    13,537.57/20,305.03 = 4,175.07/x
  3. Step 3: Cross multiply
    13,537.57x = 20,305.03 × 4,175.07
  4. Step 4: Simplify right side
    13,537.57x = 84,774,921.60
  5. Step 5: Solve for x
    x = 84,774,921.60/13,537.57
  6. Step 6: Final answer
    x = 6,262.20

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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.