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Finding the Fourth Proportional to 13,380.58, 20,064.25 and 7,835.32

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Solution

The fourth proportional to 13,380.58, 20,064.25 and 7,835.32 is: 11,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.58 : 20,064.25 = 7,835.32 : x
  2. Step 2: Convert to fraction form
    13,380.58/20,064.25 = 7,835.32/x
  3. Step 3: Cross multiply
    13,380.58x = 20,064.25 × 7,835.32
  4. Step 4: Simplify right side
    13,380.58x = 157,209,819.31
  5. Step 5: Solve for x
    x = 157,209,819.31/13,380.58
  6. Step 6: Final answer
    x = 11,749.10

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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.