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Finding the Fourth Proportional to 17,234.06, 23,783.02 and 9,782.06

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Solution

The fourth proportional to 17,234.06, 23,783.02 and 9,782.06 is: 13,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.06 : 23,783.02 = 9,782.06 : x
  2. Step 2: Convert to fraction form
    17,234.06/23,783.02 = 9,782.06/x
  3. Step 3: Cross multiply
    17,234.06x = 23,783.02 × 9,782.06
  4. Step 4: Simplify right side
    17,234.06x = 232,646,928.62
  5. Step 5: Solve for x
    x = 232,646,928.62/17,234.06
  6. Step 6: Final answer
    x = 13,499.25

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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.