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Finding the Fourth Proportional to 13,672.68, 20,509.47 and 4,312.79

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Solution

The fourth proportional to 13,672.68, 20,509.47 and 4,312.79 is: 6,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.68 : 20,509.47 = 4,312.79 : x
  2. Step 2: Convert to fraction form
    13,672.68/20,509.47 = 4,312.79/x
  3. Step 3: Cross multiply
    13,672.68x = 20,509.47 × 4,312.79
  4. Step 4: Simplify right side
    13,672.68x = 88,453,037.12
  5. Step 5: Solve for x
    x = 88,453,037.12/13,672.68
  6. Step 6: Final answer
    x = 6,469.33

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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.