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Finding the Fourth Proportional to 25,534.72, 38,292.36 and 11,674

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Solution

The fourth proportional to 25,534.72, 38,292.36 and 11,674 is: 17,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.72 : 38,292.36 = 11,674 : x
  2. Step 2: Convert to fraction form
    25,534.72/38,292.36 = 11,674/x
  3. Step 3: Cross multiply
    25,534.72x = 38,292.36 × 11,674
  4. Step 4: Simplify right side
    25,534.72x = 447,025,010.64
  5. Step 5: Solve for x
    x = 447,025,010.64/25,534.72
  6. Step 6: Final answer
    x = 17,506.56

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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.