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Finding the Fourth Proportional to 16,346.46, 24,519.82 and 4,659.78

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Solution

The fourth proportional to 16,346.46, 24,519.82 and 4,659.78 is: 6,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.46 : 24,519.82 = 4,659.78 : x
  2. Step 2: Convert to fraction form
    16,346.46/24,519.82 = 4,659.78/x
  3. Step 3: Cross multiply
    16,346.46x = 24,519.82 × 4,659.78
  4. Step 4: Simplify right side
    16,346.46x = 114,256,966.84
  5. Step 5: Solve for x
    x = 114,256,966.84/16,346.46
  6. Step 6: Final answer
    x = 6,989.71

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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.