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Finding the Fourth Proportional to 15,820.72, 23,734.68 and 8,421.28

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Solution

The fourth proportional to 15,820.72, 23,734.68 and 8,421.28 is: 12,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.72 : 23,734.68 = 8,421.28 : x
  2. Step 2: Convert to fraction form
    15,820.72/23,734.68 = 8,421.28/x
  3. Step 3: Cross multiply
    15,820.72x = 23,734.68 × 8,421.28
  4. Step 4: Simplify right side
    15,820.72x = 199,876,225.21
  5. Step 5: Solve for x
    x = 199,876,225.21/15,820.72
  6. Step 6: Final answer
    x = 12,633.83

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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.