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Finding the Fourth Proportional to 23,578.44, 32,538.06 and 13,506.54

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Solution

The fourth proportional to 23,578.44, 32,538.06 and 13,506.54 is: 18,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.44 : 32,538.06 = 13,506.54 : x
  2. Step 2: Convert to fraction form
    23,578.44/32,538.06 = 13,506.54/x
  3. Step 3: Cross multiply
    23,578.44x = 32,538.06 × 13,506.54
  4. Step 4: Simplify right side
    23,578.44x = 439,476,608.91
  5. Step 5: Solve for x
    x = 439,476,608.91/23,578.44
  6. Step 6: Final answer
    x = 18,638.92

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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.