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Finding the Fourth Proportional to 15,670.86, 23,489.81 and 5,138.15

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Solution

The fourth proportional to 15,670.86, 23,489.81 and 5,138.15 is: 7,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670.86 : 23,489.81 = 5,138.15 : x
  2. Step 2: Convert to fraction form
    15,670.86/23,489.81 = 5,138.15/x
  3. Step 3: Cross multiply
    15,670.86x = 23,489.81 × 5,138.15
  4. Step 4: Simplify right side
    15,670.86x = 120,694,141.56
  5. Step 5: Solve for x
    x = 120,694,141.56/15,670.86
  6. Step 6: Final answer
    x = 7,701.82

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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.