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Finding the Fourth Proportional to 13,725.71, 18,941.55 and 7,438.08

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Solution

The fourth proportional to 13,725.71, 18,941.55 and 7,438.08 is: 10,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.71 : 18,941.55 = 7,438.08 : x
  2. Step 2: Convert to fraction form
    13,725.71/18,941.55 = 7,438.08/x
  3. Step 3: Cross multiply
    13,725.71x = 18,941.55 × 7,438.08
  4. Step 4: Simplify right side
    13,725.71x = 140,888,764.22
  5. Step 5: Solve for x
    x = 140,888,764.22/13,725.71
  6. Step 6: Final answer
    x = 10,264.59

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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.