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Finding the Fourth Proportional to 17,274.24, 23,838 and 9,822.24

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Solution

The fourth proportional to 17,274.24, 23,838 and 9,822.24 is: 13,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.24 : 23,838 = 9,822.24 : x
  2. Step 2: Convert to fraction form
    17,274.24/23,838 = 9,822.24/x
  3. Step 3: Cross multiply
    17,274.24x = 23,838 × 9,822.24
  4. Step 4: Simplify right side
    17,274.24x = 234,142,557.12
  5. Step 5: Solve for x
    x = 234,142,557.12/17,274.24
  6. Step 6: Final answer
    x = 13,554.43

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1.5x scale

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.