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Finding the Fourth Proportional to 15,893.92, 23,842.04 and 4,207

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Solution

The fourth proportional to 15,893.92, 23,842.04 and 4,207 is: 6,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.92 : 23,842.04 = 4,207 : x
  2. Step 2: Convert to fraction form
    15,893.92/23,842.04 = 4,207/x
  3. Step 3: Cross multiply
    15,893.92x = 23,842.04 × 4,207
  4. Step 4: Simplify right side
    15,893.92x = 100,303,462.28
  5. Step 5: Solve for x
    x = 100,303,462.28/15,893.92
  6. Step 6: Final answer
    x = 6,310.81

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