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Finding the Fourth Proportional to 16,901.86, 25,346.31 and 5,806.48

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Solution

The fourth proportional to 16,901.86, 25,346.31 and 5,806.48 is: 8,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.86 : 25,346.31 = 5,806.48 : x
  2. Step 2: Convert to fraction form
    16,901.86/25,346.31 = 5,806.48/x
  3. Step 3: Cross multiply
    16,901.86x = 25,346.31 × 5,806.48
  4. Step 4: Simplify right side
    16,901.86x = 147,172,842.09
  5. Step 5: Solve for x
    x = 147,172,842.09/16,901.86
  6. Step 6: Final answer
    x = 8,707.49

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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.