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Finding the Fourth Proportional to 13,510.31, 20,268.71 and 4,276.31

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Solution

The fourth proportional to 13,510.31, 20,268.71 and 4,276.31 is: 6,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.31 : 20,268.71 = 4,276.31 : x
  2. Step 2: Convert to fraction form
    13,510.31/20,268.71 = 4,276.31/x
  3. Step 3: Cross multiply
    13,510.31x = 20,268.71 × 4,276.31
  4. Step 4: Simplify right side
    13,510.31x = 86,675,348.62
  5. Step 5: Solve for x
    x = 86,675,348.62/13,510.31
  6. Step 6: Final answer
    x = 6,415.50

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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.