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Finding the Fourth Proportional to 23,778.55, 32,820.29 and 13,713.03

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Solution

The fourth proportional to 23,778.55, 32,820.29 and 13,713.03 is: 18,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.55 : 32,820.29 = 13,713.03 : x
  2. Step 2: Convert to fraction form
    23,778.55/32,820.29 = 13,713.03/x
  3. Step 3: Cross multiply
    23,778.55x = 32,820.29 × 13,713.03
  4. Step 4: Simplify right side
    23,778.55x = 450,065,604.24
  5. Step 5: Solve for x
    x = 450,065,604.24/23,778.55
  6. Step 6: Final answer
    x = 18,927.38

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Why These Related Problems?

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