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Finding the Fourth Proportional to 14,836.23, 20,472.96 and 8,463.09

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Solution

The fourth proportional to 14,836.23, 20,472.96 and 8,463.09 is: 11,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.23 : 20,472.96 = 8,463.09 : x
  2. Step 2: Convert to fraction form
    14,836.23/20,472.96 = 8,463.09/x
  3. Step 3: Cross multiply
    14,836.23x = 20,472.96 × 8,463.09
  4. Step 4: Simplify right side
    14,836.23x = 173,264,503.05
  5. Step 5: Solve for x
    x = 173,264,503.05/14,836.23
  6. Step 6: Final answer
    x = 11,678.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.