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Finding the Fourth Proportional to 20,157.57, 27,829.08 and 13,465.35

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Solution

The fourth proportional to 20,157.57, 27,829.08 and 13,465.35 is: 18,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.57 : 27,829.08 = 13,465.35 : x
  2. Step 2: Convert to fraction form
    20,157.57/27,829.08 = 13,465.35/x
  3. Step 3: Cross multiply
    20,157.57x = 27,829.08 × 13,465.35
  4. Step 4: Simplify right side
    20,157.57x = 374,728,302.38
  5. Step 5: Solve for x
    x = 374,728,302.38/20,157.57
  6. Step 6: Final answer
    x = 18,589.95

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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.