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Finding the Fourth Proportional to 17,189.50, 25,784.28 and 4,709.64

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Solution

The fourth proportional to 17,189.50, 25,784.28 and 4,709.64 is: 7,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.50 : 25,784.28 = 4,709.64 : x
  2. Step 2: Convert to fraction form
    17,189.50/25,784.28 = 4,709.64/x
  3. Step 3: Cross multiply
    17,189.50x = 25,784.28 × 4,709.64
  4. Step 4: Simplify right side
    17,189.50x = 121,434,676.46
  5. Step 5: Solve for x
    x = 121,434,676.46/17,189.50
  6. Step 6: Final answer
    x = 7,064.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.