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Finding the Fourth Proportional to 14,540.54, 21,820.36 and 7,971.38

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Solution

The fourth proportional to 14,540.54, 21,820.36 and 7,971.38 is: 11,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.54 : 21,820.36 = 7,971.38 : x
  2. Step 2: Convert to fraction form
    14,540.54/21,820.36 = 7,971.38/x
  3. Step 3: Cross multiply
    14,540.54x = 21,820.36 × 7,971.38
  4. Step 4: Simplify right side
    14,540.54x = 173,938,381.30
  5. Step 5: Solve for x
    x = 173,938,381.30/14,540.54
  6. Step 6: Final answer
    x = 11,962.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.