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Finding the Fourth Proportional to 15,835.86, 21,850.38 and 8,760.96

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Solution

The fourth proportional to 15,835.86, 21,850.38 and 8,760.96 is: 12,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.86 : 21,850.38 = 8,760.96 : x
  2. Step 2: Convert to fraction form
    15,835.86/21,850.38 = 8,760.96/x
  3. Step 3: Cross multiply
    15,835.86x = 21,850.38 × 8,760.96
  4. Step 4: Simplify right side
    15,835.86x = 191,430,305.16
  5. Step 5: Solve for x
    x = 191,430,305.16/15,835.86
  6. Step 6: Final answer
    x = 12,088.41

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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.