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Finding the Fourth Proportional to 15,954.66, 23,932 and 4,267.86

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Solution

The fourth proportional to 15,954.66, 23,932 and 4,267.86 is: 6,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.66 : 23,932 = 4,267.86 : x
  2. Step 2: Convert to fraction form
    15,954.66/23,932 = 4,267.86/x
  3. Step 3: Cross multiply
    15,954.66x = 23,932 × 4,267.86
  4. Step 4: Simplify right side
    15,954.66x = 102,138,425.52
  5. Step 5: Solve for x
    x = 102,138,425.52/15,954.66
  6. Step 6: Final answer
    x = 6,401.79

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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.