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Finding the Fourth Proportional to 21,722.33, 29,980.04 and 13,765.30

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Solution

The fourth proportional to 21,722.33, 29,980.04 and 13,765.30 is: 18,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.33 : 29,980.04 = 13,765.30 : x
  2. Step 2: Convert to fraction form
    21,722.33/29,980.04 = 13,765.30/x
  3. Step 3: Cross multiply
    21,722.33x = 29,980.04 × 13,765.30
  4. Step 4: Simplify right side
    21,722.33x = 412,684,025.89
  5. Step 5: Solve for x
    x = 412,684,025.89/21,722.33
  6. Step 6: Final answer
    x = 18,998.15

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