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Finding the Fourth Proportional to 14,736.47, 20,338.42 and 8,364.63

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Solution

The fourth proportional to 14,736.47, 20,338.42 and 8,364.63 is: 11,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736.47 : 20,338.42 = 8,364.63 : x
  2. Step 2: Convert to fraction form
    14,736.47/20,338.42 = 8,364.63/x
  3. Step 3: Cross multiply
    14,736.47x = 20,338.42 × 8,364.63
  4. Step 4: Simplify right side
    14,736.47x = 170,123,444.81
  5. Step 5: Solve for x
    x = 170,123,444.81/14,736.47
  6. Step 6: Final answer
    x = 11,544.39

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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.