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Finding the Fourth Proportional to 13,906.72, 20,862 and 4,675.36

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Solution

The fourth proportional to 13,906.72, 20,862 and 4,675.36 is: 7,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.72 : 20,862 = 4,675.36 : x
  2. Step 2: Convert to fraction form
    13,906.72/20,862 = 4,675.36/x
  3. Step 3: Cross multiply
    13,906.72x = 20,862 × 4,675.36
  4. Step 4: Simplify right side
    13,906.72x = 97,537,360.32
  5. Step 5: Solve for x
    x = 97,537,360.32/13,906.72
  6. Step 6: Final answer
    x = 7,013.69

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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.