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Finding the Fourth Proportional to 16,966, 23,415.24 and 9,514

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Solution

The fourth proportional to 16,966, 23,415.24 and 9,514 is: 13,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966 : 23,415.24 = 9,514 : x
  2. Step 2: Convert to fraction form
    16,966/23,415.24 = 9,514/x
  3. Step 3: Cross multiply
    16,966x = 23,415.24 × 9,514
  4. Step 4: Simplify right side
    16,966x = 222,772,593.36
  5. Step 5: Solve for x
    x = 222,772,593.36/16,966
  6. Step 6: Final answer
    x = 13,130.53

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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.