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Finding the Fourth Proportional to 13,725.96, 18,941.90 and 7,438.32

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Solution

The fourth proportional to 13,725.96, 18,941.90 and 7,438.32 is: 10,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.96 : 18,941.90 = 7,438.32 : x
  2. Step 2: Convert to fraction form
    13,725.96/18,941.90 = 7,438.32/x
  3. Step 3: Cross multiply
    13,725.96x = 18,941.90 × 7,438.32
  4. Step 4: Simplify right side
    13,725.96x = 140,895,913.61
  5. Step 5: Solve for x
    x = 140,895,913.61/13,725.96
  6. Step 6: Final answer
    x = 10,264.92

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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.