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Finding the Fourth Proportional to 17,182.64, 25,774.48 and 7,817.84

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Solution

The fourth proportional to 17,182.64, 25,774.48 and 7,817.84 is: 11,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.64 : 25,774.48 = 7,817.84 : x
  2. Step 2: Convert to fraction form
    17,182.64/25,774.48 = 7,817.84/x
  3. Step 3: Cross multiply
    17,182.64x = 25,774.48 × 7,817.84
  4. Step 4: Simplify right side
    17,182.64x = 201,500,788.78
  5. Step 5: Solve for x
    x = 201,500,788.78/17,182.64
  6. Step 6: Final answer
    x = 11,727.00

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Why These Related Problems?

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