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Finding the Fourth Proportional to 13,610.54, 20,411.71 and 4,723.81

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Solution

The fourth proportional to 13,610.54, 20,411.71 and 4,723.81 is: 7,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.54 : 20,411.71 = 4,723.81 : x
  2. Step 2: Convert to fraction form
    13,610.54/20,411.71 = 4,723.81/x
  3. Step 3: Cross multiply
    13,610.54x = 20,411.71 × 4,723.81
  4. Step 4: Simplify right side
    13,610.54x = 96,420,976.98
  5. Step 5: Solve for x
    x = 96,420,976.98/13,610.54
  6. Step 6: Final answer
    x = 7,084.29

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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.