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Finding the Fourth Proportional to 13,338.32, 20,006.52 and 5,842.64

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Solution

The fourth proportional to 13,338.32, 20,006.52 and 5,842.64 is: 8,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.32 : 20,006.52 = 5,842.64 : x
  2. Step 2: Convert to fraction form
    13,338.32/20,006.52 = 5,842.64/x
  3. Step 3: Cross multiply
    13,338.32x = 20,006.52 × 5,842.64
  4. Step 4: Simplify right side
    13,338.32x = 116,890,894.01
  5. Step 5: Solve for x
    x = 116,890,894.01/13,338.32
  6. Step 6: Final answer
    x = 8,763.54

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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.