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Finding the Fourth Proportional to 16,944, 23,384 and 9,492.48

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Solution

The fourth proportional to 16,944, 23,384 and 9,492.48 is: 13,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,944 : 23,384 = 9,492.48 : x
  2. Step 2: Convert to fraction form
    16,944/23,384 = 9,492.48/x
  3. Step 3: Cross multiply
    16,944x = 23,384 × 9,492.48
  4. Step 4: Simplify right side
    16,944x = 221,972,152.32
  5. Step 5: Solve for x
    x = 221,972,152.32/16,944
  6. Step 6: Final answer
    x = 13,100.34

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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.