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Finding the Fourth Proportional to 13,725.72, 18,941.48 and 7,438.10

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Solution

The fourth proportional to 13,725.72, 18,941.48 and 7,438.10 is: 10,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.72 : 18,941.48 = 7,438.10 : x
  2. Step 2: Convert to fraction form
    13,725.72/18,941.48 = 7,438.10/x
  3. Step 3: Cross multiply
    13,725.72x = 18,941.48 × 7,438.10
  4. Step 4: Simplify right side
    13,725.72x = 140,888,518.38
  5. Step 5: Solve for x
    x = 140,888,518.38/13,725.72
  6. Step 6: Final answer
    x = 10,264.56

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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.