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Finding the Fourth Proportional to 21,722.58, 29,980.38 and 13,765.53

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Solution

The fourth proportional to 21,722.58, 29,980.38 and 13,765.53 is: 18,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.58 : 29,980.38 = 13,765.53 : x
  2. Step 2: Convert to fraction form
    21,722.58/29,980.38 = 13,765.53/x
  3. Step 3: Cross multiply
    21,722.58x = 29,980.38 × 13,765.53
  4. Step 4: Simplify right side
    21,722.58x = 412,695,820.30
  5. Step 5: Solve for x
    x = 412,695,820.30/21,722.58
  6. Step 6: Final answer
    x = 18,998.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.