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Finding the Fourth Proportional to 13,725.50, 18,941.28 and 7,437.92

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Solution

The fourth proportional to 13,725.50, 18,941.28 and 7,437.92 is: 10,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.50 : 18,941.28 = 7,437.92 : x
  2. Step 2: Convert to fraction form
    13,725.50/18,941.28 = 7,437.92/x
  3. Step 3: Cross multiply
    13,725.50x = 18,941.28 × 7,437.92
  4. Step 4: Simplify right side
    13,725.50x = 140,883,725.34
  5. Step 5: Solve for x
    x = 140,883,725.34/13,725.50
  6. Step 6: Final answer
    x = 10,264.38

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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.