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Finding the Fourth Proportional to 21,693.10, 29,938.03 and 13,193.64

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Solution

The fourth proportional to 21,693.10, 29,938.03 and 13,193.64 is: 18,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.10 : 29,938.03 = 13,193.64 : x
  2. Step 2: Convert to fraction form
    21,693.10/29,938.03 = 13,193.64/x
  3. Step 3: Cross multiply
    21,693.10x = 29,938.03 × 13,193.64
  4. Step 4: Simplify right side
    21,693.10x = 394,991,590.13
  5. Step 5: Solve for x
    x = 394,991,590.13/21,693.10
  6. Step 6: Final answer
    x = 18,208.17

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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.