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Finding the Fourth Proportional to 16,457.67, 24,653.70 and 13,997.70

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Solution

The fourth proportional to 16,457.67, 24,653.70 and 13,997.70 is: 20,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.67 : 24,653.70 = 13,997.70 : x
  2. Step 2: Convert to fraction form
    16,457.67/24,653.70 = 13,997.70/x
  3. Step 3: Cross multiply
    16,457.67x = 24,653.70 × 13,997.70
  4. Step 4: Simplify right side
    16,457.67x = 345,095,096.49
  5. Step 5: Solve for x
    x = 345,095,096.49/16,457.67
  6. Step 6: Final answer
    x = 20,968.65

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1.5x scale

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.