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Finding the Fourth Proportional to 17,289.36, 23,857.92 and 9,837.36

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Solution

The fourth proportional to 17,289.36, 23,857.92 and 9,837.36 is: 13,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289.36 : 23,857.92 = 9,837.36 : x
  2. Step 2: Convert to fraction form
    17,289.36/23,857.92 = 9,837.36/x
  3. Step 3: Cross multiply
    17,289.36x = 23,857.92 × 9,837.36
  4. Step 4: Simplify right side
    17,289.36x = 234,698,947.89
  5. Step 5: Solve for x
    x = 234,698,947.89/17,289.36
  6. Step 6: Final answer
    x = 13,574.76

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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.