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Finding the Fourth Proportional to 25,488.72, 38,213.64 and 11,628

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Solution

The fourth proportional to 25,488.72, 38,213.64 and 11,628 is: 17,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488.72 : 38,213.64 = 11,628 : x
  2. Step 2: Convert to fraction form
    25,488.72/38,213.64 = 11,628/x
  3. Step 3: Cross multiply
    25,488.72x = 38,213.64 × 11,628
  4. Step 4: Simplify right side
    25,488.72x = 444,348,205.92
  5. Step 5: Solve for x
    x = 444,348,205.92/25,488.72
  6. Step 6: Final answer
    x = 17,433.13

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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.