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Finding the Fourth Proportional to 13,434.72, 20,148 and 5,108.64

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Solution

The fourth proportional to 13,434.72, 20,148 and 5,108.64 is: 7,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.72 : 20,148 = 5,108.64 : x
  2. Step 2: Convert to fraction form
    13,434.72/20,148 = 5,108.64/x
  3. Step 3: Cross multiply
    13,434.72x = 20,148 × 5,108.64
  4. Step 4: Simplify right side
    13,434.72x = 102,928,878.72
  5. Step 5: Solve for x
    x = 102,928,878.72/13,434.72
  6. Step 6: Final answer
    x = 7,661.41

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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.