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Finding the Fourth Proportional to 27,532.96, 38,004.24 and 17,596.96

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Solution

The fourth proportional to 27,532.96, 38,004.24 and 17,596.96 is: 24,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.96 : 38,004.24 = 17,596.96 : x
  2. Step 2: Convert to fraction form
    27,532.96/38,004.24 = 17,596.96/x
  3. Step 3: Cross multiply
    27,532.96x = 38,004.24 × 17,596.96
  4. Step 4: Simplify right side
    27,532.96x = 668,759,091.11
  5. Step 5: Solve for x
    x = 668,759,091.11/27,532.96
  6. Step 6: Final answer
    x = 24,289.40

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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.