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Finding the Fourth Proportional to 23,754.72, 32,779.14 and 13,144.08

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Solution

The fourth proportional to 23,754.72, 32,779.14 and 13,144.08 is: 18,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.72 : 32,779.14 = 13,144.08 : x
  2. Step 2: Convert to fraction form
    23,754.72/32,779.14 = 13,144.08/x
  3. Step 3: Cross multiply
    23,754.72x = 32,779.14 × 13,144.08
  4. Step 4: Simplify right side
    23,754.72x = 430,851,638.49
  5. Step 5: Solve for x
    x = 430,851,638.49/23,754.72
  6. Step 6: Final answer
    x = 18,137.52

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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.