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Finding the Fourth Proportional to 13,920, 19,213.92 and 8,952

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Solution

The fourth proportional to 13,920, 19,213.92 and 8,952 is: 12,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920 : 19,213.92 = 8,952 : x
  2. Step 2: Convert to fraction form
    13,920/19,213.92 = 8,952/x
  3. Step 3: Cross multiply
    13,920x = 19,213.92 × 8,952
  4. Step 4: Simplify right side
    13,920x = 172,003,011.84
  5. Step 5: Solve for x
    x = 172,003,011.84/13,920
  6. Step 6: Final answer
    x = 12,356.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.