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Finding the Fourth Proportional to 16,346.70, 24,459.30 and 11,972.70

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Solution

The fourth proportional to 16,346.70, 24,459.30 and 11,972.70 is: 17,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.70 : 24,459.30 = 11,972.70 : x
  2. Step 2: Convert to fraction form
    16,346.70/24,459.30 = 11,972.70/x
  3. Step 3: Cross multiply
    16,346.70x = 24,459.30 × 11,972.70
  4. Step 4: Simplify right side
    16,346.70x = 292,843,861.11
  5. Step 5: Solve for x
    x = 292,843,861.11/16,346.70
  6. Step 6: Final answer
    x = 17,914.56

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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.