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Finding the Fourth Proportional to 16,507.44, 24,761.16 and 4,820.76

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Solution

The fourth proportional to 16,507.44, 24,761.16 and 4,820.76 is: 7,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.44 : 24,761.16 = 4,820.76 : x
  2. Step 2: Convert to fraction form
    16,507.44/24,761.16 = 4,820.76/x
  3. Step 3: Cross multiply
    16,507.44x = 24,761.16 × 4,820.76
  4. Step 4: Simplify right side
    16,507.44x = 119,367,609.68
  5. Step 5: Solve for x
    x = 119,367,609.68/16,507.44
  6. Step 6: Final answer
    x = 7,231.14

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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.