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Finding the Fourth Proportional to 13,709.64, 20,564.30 and 4,349.65

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Solution

The fourth proportional to 13,709.64, 20,564.30 and 4,349.65 is: 6,524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.64 : 20,564.30 = 4,349.65 : x
  2. Step 2: Convert to fraction form
    13,709.64/20,564.30 = 4,349.65/x
  3. Step 3: Cross multiply
    13,709.64x = 20,564.30 × 4,349.65
  4. Step 4: Simplify right side
    13,709.64x = 89,447,466.96
  5. Step 5: Solve for x
    x = 89,447,466.96/13,709.64
  6. Step 6: Final answer
    x = 6,524.42

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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.