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Finding the Fourth Proportional to 13,355.83, 20,038.34 and 5,965.39

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Solution

The fourth proportional to 13,355.83, 20,038.34 and 5,965.39 is: 8,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,355.83 : 20,038.34 = 5,965.39 : x
  2. Step 2: Convert to fraction form
    13,355.83/20,038.34 = 5,965.39/x
  3. Step 3: Cross multiply
    13,355.83x = 20,038.34 × 5,965.39
  4. Step 4: Simplify right side
    13,355.83x = 119,536,513.05
  5. Step 5: Solve for x
    x = 119,536,513.05/13,355.83
  6. Step 6: Final answer
    x = 8,950.14

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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.