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Finding the Fourth Proportional to 13,502.96, 20,256.46 and 4,736.33

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Solution

The fourth proportional to 13,502.96, 20,256.46 and 4,736.33 is: 7,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.96 : 20,256.46 = 4,736.33 : x
  2. Step 2: Convert to fraction form
    13,502.96/20,256.46 = 4,736.33/x
  3. Step 3: Cross multiply
    13,502.96x = 20,256.46 × 4,736.33
  4. Step 4: Simplify right side
    13,502.96x = 95,941,154.23
  5. Step 5: Solve for x
    x = 95,941,154.23/13,502.96
  6. Step 6: Final answer
    x = 7,105.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.