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Finding the Fourth Proportional to 16,505.70, 24,723.32 and 7,628.28

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Solution

The fourth proportional to 16,505.70, 24,723.32 and 7,628.28 is: 11,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.70 : 24,723.32 = 7,628.28 : x
  2. Step 2: Convert to fraction form
    16,505.70/24,723.32 = 7,628.28/x
  3. Step 3: Cross multiply
    16,505.70x = 24,723.32 × 7,628.28
  4. Step 4: Simplify right side
    16,505.70x = 188,596,407.49
  5. Step 5: Solve for x
    x = 188,596,407.49/16,505.70
  6. Step 6: Final answer
    x = 11,426.14

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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.