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Finding the Fourth Proportional to 20,778.72, 28,655.64 and 16,242

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Solution

The fourth proportional to 20,778.72, 28,655.64 and 16,242 is: 22,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.72 : 28,655.64 = 16,242 : x
  2. Step 2: Convert to fraction form
    20,778.72/28,655.64 = 16,242/x
  3. Step 3: Cross multiply
    20,778.72x = 28,655.64 × 16,242
  4. Step 4: Simplify right side
    20,778.72x = 465,424,904.88
  5. Step 5: Solve for x
    x = 465,424,904.88/20,778.72
  6. Step 6: Final answer
    x = 22,399.11

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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.