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Finding the Fourth Proportional to 13,723.58, 18,938.04 and 7,435.82

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Solution

The fourth proportional to 13,723.58, 18,938.04 and 7,435.82 is: 10,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.58 : 18,938.04 = 7,435.82 : x
  2. Step 2: Convert to fraction form
    13,723.58/18,938.04 = 7,435.82/x
  3. Step 3: Cross multiply
    13,723.58x = 18,938.04 × 7,435.82
  4. Step 4: Simplify right side
    13,723.58x = 140,819,876.05
  5. Step 5: Solve for x
    x = 140,819,876.05/13,723.58
  6. Step 6: Final answer
    x = 10,261.16

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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.