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Finding the Fourth Proportional to 23,537.54, 32,473.85 and 13,458.80

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Solution

The fourth proportional to 23,537.54, 32,473.85 and 13,458.80 is: 18,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.54 : 32,473.85 = 13,458.80 : x
  2. Step 2: Convert to fraction form
    23,537.54/32,473.85 = 13,458.80/x
  3. Step 3: Cross multiply
    23,537.54x = 32,473.85 × 13,458.80
  4. Step 4: Simplify right side
    23,537.54x = 437,058,822.72
  5. Step 5: Solve for x
    x = 437,058,822.72/23,537.54
  6. Step 6: Final answer
    x = 18,568.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.