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Finding the Fourth Proportional to 17,032.50, 25,527.12 and 7,662.48

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Solution

The fourth proportional to 17,032.50, 25,527.12 and 7,662.48 is: 11,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.50 : 25,527.12 = 7,662.48 : x
  2. Step 2: Convert to fraction form
    17,032.50/25,527.12 = 7,662.48/x
  3. Step 3: Cross multiply
    17,032.50x = 25,527.12 × 7,662.48
  4. Step 4: Simplify right side
    17,032.50x = 195,601,046.46
  5. Step 5: Solve for x
    x = 195,601,046.46/17,032.50
  6. Step 6: Final answer
    x = 11,483.99

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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.