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Finding the Fourth Proportional to 23,897.96, 32,982.26 and 14,466.68

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Solution

The fourth proportional to 23,897.96, 32,982.26 and 14,466.68 is: 19,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.96 : 32,982.26 = 14,466.68 : x
  2. Step 2: Convert to fraction form
    23,897.96/32,982.26 = 14,466.68/x
  3. Step 3: Cross multiply
    23,897.96x = 32,982.26 × 14,466.68
  4. Step 4: Simplify right side
    23,897.96x = 477,143,801.10
  5. Step 5: Solve for x
    x = 477,143,801.10/23,897.96
  6. Step 6: Final answer
    x = 19,965.88

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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.