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Finding the Fourth Proportional to 13,725, 18,940.59 and 7,437.42

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Solution

The fourth proportional to 13,725, 18,940.59 and 7,437.42 is: 10,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725 : 18,940.59 = 7,437.42 : x
  2. Step 2: Convert to fraction form
    13,725/18,940.59 = 7,437.42/x
  3. Step 3: Cross multiply
    13,725x = 18,940.59 × 7,437.42
  4. Step 4: Simplify right side
    13,725x = 140,869,122.88
  5. Step 5: Solve for x
    x = 140,869,122.88/13,725
  6. Step 6: Final answer
    x = 10,263.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.