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Finding the Fourth Proportional to 15,893.86, 23,841.96 and 4,207

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Solution

The fourth proportional to 15,893.86, 23,841.96 and 4,207 is: 6,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.86 : 23,841.96 = 4,207 : x
  2. Step 2: Convert to fraction form
    15,893.86/23,841.96 = 4,207/x
  3. Step 3: Cross multiply
    15,893.86x = 23,841.96 × 4,207
  4. Step 4: Simplify right side
    15,893.86x = 100,303,125.72
  5. Step 5: Solve for x
    x = 100,303,125.72/15,893.86
  6. Step 6: Final answer
    x = 6,310.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.