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Finding the Fourth Proportional to 16,334.70, 24,502.98 and 4,647

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Solution

The fourth proportional to 16,334.70, 24,502.98 and 4,647 is: 6,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.70 : 24,502.98 = 4,647 : x
  2. Step 2: Convert to fraction form
    16,334.70/24,502.98 = 4,647/x
  3. Step 3: Cross multiply
    16,334.70x = 24,502.98 × 4,647
  4. Step 4: Simplify right side
    16,334.70x = 113,865,348.06
  5. Step 5: Solve for x
    x = 113,865,348.06/16,334.70
  6. Step 6: Final answer
    x = 6,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.