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Finding the Fourth Proportional to 13,725.84, 18,941.61 and 7,438.23

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Solution

The fourth proportional to 13,725.84, 18,941.61 and 7,438.23 is: 10,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.84 : 18,941.61 = 7,438.23 : x
  2. Step 2: Convert to fraction form
    13,725.84/18,941.61 = 7,438.23/x
  3. Step 3: Cross multiply
    13,725.84x = 18,941.61 × 7,438.23
  4. Step 4: Simplify right side
    13,725.84x = 140,892,051.75
  5. Step 5: Solve for x
    x = 140,892,051.75/13,725.84
  6. Step 6: Final answer
    x = 10,264.73

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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.