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Finding the Fourth Proportional to 14,928.26, 20,601.49 and 8,214.38

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Solution

The fourth proportional to 14,928.26, 20,601.49 and 8,214.38 is: 11,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,928.26 : 20,601.49 = 8,214.38 : x
  2. Step 2: Convert to fraction form
    14,928.26/20,601.49 = 8,214.38/x
  3. Step 3: Cross multiply
    14,928.26x = 20,601.49 × 8,214.38
  4. Step 4: Simplify right side
    14,928.26x = 169,228,364.42
  5. Step 5: Solve for x
    x = 169,228,364.42/14,928.26
  6. Step 6: Final answer
    x = 11,336.11

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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.