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Finding the Fourth Proportional to 17,321, 23,905.32 and 9,768.88

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Solution

The fourth proportional to 17,321, 23,905.32 and 9,768.88 is: 13,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321 : 23,905.32 = 9,768.88 : x
  2. Step 2: Convert to fraction form
    17,321/23,905.32 = 9,768.88/x
  3. Step 3: Cross multiply
    17,321x = 23,905.32 × 9,768.88
  4. Step 4: Simplify right side
    17,321x = 233,528,202.44
  5. Step 5: Solve for x
    x = 233,528,202.44/17,321
  6. Step 6: Final answer
    x = 13,482.37

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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.