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Finding the Fourth Proportional to 13,761.51, 20,645.51 and 4,996.50

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Solution

The fourth proportional to 13,761.51, 20,645.51 and 4,996.50 is: 7,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.51 : 20,645.51 = 4,996.50 : x
  2. Step 2: Convert to fraction form
    13,761.51/20,645.51 = 4,996.50/x
  3. Step 3: Cross multiply
    13,761.51x = 20,645.51 × 4,996.50
  4. Step 4: Simplify right side
    13,761.51x = 103,155,265.73
  5. Step 5: Solve for x
    x = 103,155,265.73/13,761.51
  6. Step 6: Final answer
    x = 7,495.93

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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.