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Finding the Fourth Proportional to 15,774.72, 23,659.84 and 9,204

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Solution

The fourth proportional to 15,774.72, 23,659.84 and 9,204 is: 13,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.72 : 23,659.84 = 9,204 : x
  2. Step 2: Convert to fraction form
    15,774.72/23,659.84 = 9,204/x
  3. Step 3: Cross multiply
    15,774.72x = 23,659.84 × 9,204
  4. Step 4: Simplify right side
    15,774.72x = 217,765,167.36
  5. Step 5: Solve for x
    x = 217,765,167.36/15,774.72
  6. Step 6: Final answer
    x = 13,804.69

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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.