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Finding the Fourth Proportional to 13,725, 18,940.53 and 7,437.39

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Solution

The fourth proportional to 13,725, 18,940.53 and 7,437.39 is: 10,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725 : 18,940.53 = 7,437.39 : x
  2. Step 2: Convert to fraction form
    13,725/18,940.53 = 7,437.39/x
  3. Step 3: Cross multiply
    13,725x = 18,940.53 × 7,437.39
  4. Step 4: Simplify right side
    13,725x = 140,868,108.42
  5. Step 5: Solve for x
    x = 140,868,108.42/13,725
  6. Step 6: Final answer
    x = 10,263.61

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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.