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Finding the Fourth Proportional to 13,402.89, 18,496.98 and 7,435.71

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Solution

The fourth proportional to 13,402.89, 18,496.98 and 7,435.71 is: 10,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.89 : 18,496.98 = 7,435.71 : x
  2. Step 2: Convert to fraction form
    13,402.89/18,496.98 = 7,435.71/x
  3. Step 3: Cross multiply
    13,402.89x = 18,496.98 × 7,435.71
  4. Step 4: Simplify right side
    13,402.89x = 137,538,179.16
  5. Step 5: Solve for x
    x = 137,538,179.16/13,402.89
  6. Step 6: Final answer
    x = 10,261.83

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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.