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Finding the Fourth Proportional to 17,335.92, 23,923.40 and 9,782.16

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Solution

The fourth proportional to 17,335.92, 23,923.40 and 9,782.16 is: 13,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335.92 : 23,923.40 = 9,782.16 : x
  2. Step 2: Convert to fraction form
    17,335.92/23,923.40 = 9,782.16/x
  3. Step 3: Cross multiply
    17,335.92x = 23,923.40 × 9,782.16
  4. Step 4: Simplify right side
    17,335.92x = 234,022,526.54
  5. Step 5: Solve for x
    x = 234,022,526.54/17,335.92
  6. Step 6: Final answer
    x = 13,499.29

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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.