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Finding the Fourth Proportional to 25,336.44, 37,991.76 and 13,497

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Solution

The fourth proportional to 25,336.44, 37,991.76 and 13,497 is: 20,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,336.44 : 37,991.76 = 13,497 : x
  2. Step 2: Convert to fraction form
    25,336.44/37,991.76 = 13,497/x
  3. Step 3: Cross multiply
    25,336.44x = 37,991.76 × 13,497
  4. Step 4: Simplify right side
    25,336.44x = 512,774,784.72
  5. Step 5: Solve for x
    x = 512,774,784.72/25,336.44
  6. Step 6: Final answer
    x = 20,238.63

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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.