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Finding the Fourth Proportional to 13,415.58, 20,137.37 and 9,909.54

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Solution

The fourth proportional to 13,415.58, 20,137.37 and 9,909.54 is: 14,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.58 : 20,137.37 = 9,909.54 : x
  2. Step 2: Convert to fraction form
    13,415.58/20,137.37 = 9,909.54/x
  3. Step 3: Cross multiply
    13,415.58x = 20,137.37 × 9,909.54
  4. Step 4: Simplify right side
    13,415.58x = 199,552,023.96
  5. Step 5: Solve for x
    x = 199,552,023.96/13,415.58
  6. Step 6: Final answer
    x = 14,874.65

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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.