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Finding the Fourth Proportional to 13,408.90, 20,113.37 and 4,643.82

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Solution

The fourth proportional to 13,408.90, 20,113.37 and 4,643.82 is: 6,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.90 : 20,113.37 = 4,643.82 : x
  2. Step 2: Convert to fraction form
    13,408.90/20,113.37 = 4,643.82/x
  3. Step 3: Cross multiply
    13,408.90x = 20,113.37 × 4,643.82
  4. Step 4: Simplify right side
    13,408.90x = 93,402,760.72
  5. Step 5: Solve for x
    x = 93,402,760.72/13,408.90
  6. Step 6: Final answer
    x = 6,965.73

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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.