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Finding the Fourth Proportional to 24,102.75, 33,259.97 and 13,347.57

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Solution

The fourth proportional to 24,102.75, 33,259.97 and 13,347.57 is: 18,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.75 : 33,259.97 = 13,347.57 : x
  2. Step 2: Convert to fraction form
    24,102.75/33,259.97 = 13,347.57/x
  3. Step 3: Cross multiply
    24,102.75x = 33,259.97 × 13,347.57
  4. Step 4: Simplify right side
    24,102.75x = 443,939,777.77
  5. Step 5: Solve for x
    x = 443,939,777.77/24,102.75
  6. Step 6: Final answer
    x = 18,418.64

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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.