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Finding the Fourth Proportional to 14,756.68, 20,365.20 and 8,383.20

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Solution

The fourth proportional to 14,756.68, 20,365.20 and 8,383.20 is: 11,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.68 : 20,365.20 = 8,383.20 : x
  2. Step 2: Convert to fraction form
    14,756.68/20,365.20 = 8,383.20/x
  3. Step 3: Cross multiply
    14,756.68x = 20,365.20 × 8,383.20
  4. Step 4: Simplify right side
    14,756.68x = 170,725,544.64
  5. Step 5: Solve for x
    x = 170,725,544.64/14,756.68
  6. Step 6: Final answer
    x = 11,569.37

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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.