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Finding the Fourth Proportional to 13,614.81, 20,416.94 and 5,293.70

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Solution

The fourth proportional to 13,614.81, 20,416.94 and 5,293.70 is: 7,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.81 : 20,416.94 = 5,293.70 : x
  2. Step 2: Convert to fraction form
    13,614.81/20,416.94 = 5,293.70/x
  3. Step 3: Cross multiply
    13,614.81x = 20,416.94 × 5,293.70
  4. Step 4: Simplify right side
    13,614.81x = 108,081,155.28
  5. Step 5: Solve for x
    x = 108,081,155.28/13,614.81
  6. Step 6: Final answer
    x = 7,938.50

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Why These Related Problems?

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