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Finding the Fourth Proportional to 24,815.86, 34,245.90 and 13,485.49

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Solution

The fourth proportional to 24,815.86, 34,245.90 and 13,485.49 is: 18,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.86 : 34,245.90 = 13,485.49 : x
  2. Step 2: Convert to fraction form
    24,815.86/34,245.90 = 13,485.49/x
  3. Step 3: Cross multiply
    24,815.86x = 34,245.90 × 13,485.49
  4. Step 4: Simplify right side
    24,815.86x = 461,822,656.38
  5. Step 5: Solve for x
    x = 461,822,656.38/24,815.86
  6. Step 6: Final answer
    x = 18,609.98

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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.