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Finding the Fourth Proportional to 17,214.56, 23,750.15 and 9,659.84

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Solution

The fourth proportional to 17,214.56, 23,750.15 and 9,659.84 is: 13,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.56 : 23,750.15 = 9,659.84 : x
  2. Step 2: Convert to fraction form
    17,214.56/23,750.15 = 9,659.84/x
  3. Step 3: Cross multiply
    17,214.56x = 23,750.15 × 9,659.84
  4. Step 4: Simplify right side
    17,214.56x = 229,422,732.50
  5. Step 5: Solve for x
    x = 229,422,732.50/17,214.56
  6. Step 6: Final answer
    x = 13,327.25

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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.