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Finding the Fourth Proportional to 13,152, 19,731.42 and 3,918

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Solution

The fourth proportional to 13,152, 19,731.42 and 3,918 is: 5,878.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152 : 19,731.42 = 3,918 : x
  2. Step 2: Convert to fraction form
    13,152/19,731.42 = 3,918/x
  3. Step 3: Cross multiply
    13,152x = 19,731.42 × 3,918
  4. Step 4: Simplify right side
    13,152x = 77,307,703.56
  5. Step 5: Solve for x
    x = 77,307,703.56/13,152
  6. Step 6: Final answer
    x = 5,878.02

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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.