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Finding the Fourth Proportional to 17,235, 23,784.32 and 9,783

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Solution

The fourth proportional to 17,235, 23,784.32 and 9,783 is: 13,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235 : 23,784.32 = 9,783 : x
  2. Step 2: Convert to fraction form
    17,235/23,784.32 = 9,783/x
  3. Step 3: Cross multiply
    17,235x = 23,784.32 × 9,783
  4. Step 4: Simplify right side
    17,235x = 232,682,002.56
  5. Step 5: Solve for x
    x = 232,682,002.56/17,235
  6. Step 6: Final answer
    x = 13,500.55

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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.