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Finding the Fourth Proportional to 15,648.21, 23,464.50 and 5,116.86

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Solution

The fourth proportional to 15,648.21, 23,464.50 and 5,116.86 is: 7,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,648.21 : 23,464.50 = 5,116.86 : x
  2. Step 2: Convert to fraction form
    15,648.21/23,464.50 = 5,116.86/x
  3. Step 3: Cross multiply
    15,648.21x = 23,464.50 × 5,116.86
  4. Step 4: Simplify right side
    15,648.21x = 120,064,561.47
  5. Step 5: Solve for x
    x = 120,064,561.47/15,648.21
  6. Step 6: Final answer
    x = 7,672.73

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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.