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Finding the Fourth Proportional to 17,356, 23,952.72 and 9,905.44

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Solution

The fourth proportional to 17,356, 23,952.72 and 9,905.44 is: 13,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,356 : 23,952.72 = 9,905.44 : x
  2. Step 2: Convert to fraction form
    17,356/23,952.72 = 9,905.44/x
  3. Step 3: Cross multiply
    17,356x = 23,952.72 × 9,905.44
  4. Step 4: Simplify right side
    17,356x = 237,262,230.80
  5. Step 5: Solve for x
    x = 237,262,230.80/17,356
  6. Step 6: Final answer
    x = 13,670.33

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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.