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Finding the Fourth Proportional to 16,961.15, 23,407.53 and 9,792.38

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Solution

The fourth proportional to 16,961.15, 23,407.53 and 9,792.38 is: 13,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.15 : 23,407.53 = 9,792.38 : x
  2. Step 2: Convert to fraction form
    16,961.15/23,407.53 = 9,792.38/x
  3. Step 3: Cross multiply
    16,961.15x = 23,407.53 × 9,792.38
  4. Step 4: Simplify right side
    16,961.15x = 229,215,428.62
  5. Step 5: Solve for x
    x = 229,215,428.62/16,961.15
  6. Step 6: Final answer
    x = 13,514.14

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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.