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Finding the Fourth Proportional to 39,408.20, 59,097.90 and 13,113.80

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Solution

The fourth proportional to 39,408.20, 59,097.90 and 13,113.80 is: 19,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,408.20 : 59,097.90 = 13,113.80 : x
  2. Step 2: Convert to fraction form
    39,408.20/59,097.90 = 13,113.80/x
  3. Step 3: Cross multiply
    39,408.20x = 59,097.90 × 13,113.80
  4. Step 4: Simplify right side
    39,408.20x = 774,998,041.02
  5. Step 5: Solve for x
    x = 774,998,041.02/39,408.20
  6. Step 6: Final answer
    x = 19,665.91

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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.