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Finding the Fourth Proportional to 13,958.83, 20,938.08 and 4,097.76

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Solution

The fourth proportional to 13,958.83, 20,938.08 and 4,097.76 is: 6,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.83 : 20,938.08 = 4,097.76 : x
  2. Step 2: Convert to fraction form
    13,958.83/20,938.08 = 4,097.76/x
  3. Step 3: Cross multiply
    13,958.83x = 20,938.08 × 4,097.76
  4. Step 4: Simplify right side
    13,958.83x = 85,799,140.50
  5. Step 5: Solve for x
    x = 85,799,140.50/13,958.83
  6. Step 6: Final answer
    x = 6,146.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.