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Finding the Fourth Proportional to 15,741.68, 23,612.92 and 5,211.68

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Solution

The fourth proportional to 15,741.68, 23,612.92 and 5,211.68 is: 7,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.68 : 23,612.92 = 5,211.68 : x
  2. Step 2: Convert to fraction form
    15,741.68/23,612.92 = 5,211.68/x
  3. Step 3: Cross multiply
    15,741.68x = 23,612.92 × 5,211.68
  4. Step 4: Simplify right side
    15,741.68x = 123,062,851.81
  5. Step 5: Solve for x
    x = 123,062,851.81/15,741.68
  6. Step 6: Final answer
    x = 7,817.65

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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.