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Finding the Fourth Proportional to 14,502.44, 20,013.41 and 8,214.82

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Solution

The fourth proportional to 14,502.44, 20,013.41 and 8,214.82 is: 11,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.44 : 20,013.41 = 8,214.82 : x
  2. Step 2: Convert to fraction form
    14,502.44/20,013.41 = 8,214.82/x
  3. Step 3: Cross multiply
    14,502.44x = 20,013.41 × 8,214.82
  4. Step 4: Simplify right side
    14,502.44x = 164,406,560.74
  5. Step 5: Solve for x
    x = 164,406,560.74/14,502.44
  6. Step 6: Final answer
    x = 11,336.48

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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.