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Finding the Fourth Proportional to 13,761.01, 20,644.76 and 4,996

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Solution

The fourth proportional to 13,761.01, 20,644.76 and 4,996 is: 7,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.01 : 20,644.76 = 4,996 : x
  2. Step 2: Convert to fraction form
    13,761.01/20,644.76 = 4,996/x
  3. Step 3: Cross multiply
    13,761.01x = 20,644.76 × 4,996
  4. Step 4: Simplify right side
    13,761.01x = 103,141,220.96
  5. Step 5: Solve for x
    x = 103,141,220.96/13,761.01
  6. Step 6: Final answer
    x = 7,495.18

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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.