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Finding the Fourth Proportional to 39,697.56, 59,546.61 and 13,402.53

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Solution

The fourth proportional to 39,697.56, 59,546.61 and 13,402.53 is: 20,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,697.56 : 59,546.61 = 13,402.53 : x
  2. Step 2: Convert to fraction form
    39,697.56/59,546.61 = 13,402.53/x
  3. Step 3: Cross multiply
    39,697.56x = 59,546.61 × 13,402.53
  4. Step 4: Simplify right side
    39,697.56x = 798,075,226.92
  5. Step 5: Solve for x
    x = 798,075,226.92/39,697.56
  6. Step 6: Final answer
    x = 20,103.89

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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.