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Finding the Fourth Proportional to 13,485.33, 20,228.16 and 5,165.84

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Solution

The fourth proportional to 13,485.33, 20,228.16 and 5,165.84 is: 7,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.33 : 20,228.16 = 5,165.84 : x
  2. Step 2: Convert to fraction form
    13,485.33/20,228.16 = 5,165.84/x
  3. Step 3: Cross multiply
    13,485.33x = 20,228.16 × 5,165.84
  4. Step 4: Simplify right side
    13,485.33x = 104,495,488.62
  5. Step 5: Solve for x
    x = 104,495,488.62/13,485.33
  6. Step 6: Final answer
    x = 7,748.83

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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.