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Finding the Fourth Proportional to 17,234.14, 23,783.14 and 9,782.14

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Solution

The fourth proportional to 17,234.14, 23,783.14 and 9,782.14 is: 13,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.14 : 23,783.14 = 9,782.14 : x
  2. Step 2: Convert to fraction form
    17,234.14/23,783.14 = 9,782.14/x
  3. Step 3: Cross multiply
    17,234.14x = 23,783.14 × 9,782.14
  4. Step 4: Simplify right side
    17,234.14x = 232,650,005.12
  5. Step 5: Solve for x
    x = 232,650,005.12/17,234.14
  6. Step 6: Final answer
    x = 13,499.37

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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.