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Finding the Fourth Proportional to 18,596.64, 27,899.32 and 6,116.68

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Solution

The fourth proportional to 18,596.64, 27,899.32 and 6,116.68 is: 9,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.64 : 27,899.32 = 6,116.68 : x
  2. Step 2: Convert to fraction form
    18,596.64/27,899.32 = 6,116.68/x
  3. Step 3: Cross multiply
    18,596.64x = 27,899.32 × 6,116.68
  4. Step 4: Simplify right side
    18,596.64x = 170,651,212.66
  5. Step 5: Solve for x
    x = 170,651,212.66/18,596.64
  6. Step 6: Final answer
    x = 9,176.45

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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.