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Finding the Fourth Proportional to 16,613.94, 22,929.30 and 9,540.22

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Solution

The fourth proportional to 16,613.94, 22,929.30 and 9,540.22 is: 13,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,613.94 : 22,929.30 = 9,540.22 : x
  2. Step 2: Convert to fraction form
    16,613.94/22,929.30 = 9,540.22/x
  3. Step 3: Cross multiply
    16,613.94x = 22,929.30 × 9,540.22
  4. Step 4: Simplify right side
    16,613.94x = 218,750,566.45
  5. Step 5: Solve for x
    x = 218,750,566.45/16,613.94
  6. Step 6: Final answer
    x = 13,166.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.