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Finding the Fourth Proportional to 19,456, 29,184 and 4,864

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Solution

The fourth proportional to 19,456, 29,184 and 4,864 is: 7,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,456 : 29,184 = 4,864 : x
  2. Step 2: Convert to fraction form
    19,456/29,184 = 4,864/x
  3. Step 3: Cross multiply
    19,456x = 29,184 × 4,864
  4. Step 4: Simplify right side
    19,456x = 141,950,976
  5. Step 5: Solve for x
    x = 141,950,976/19,456
  6. Step 6: Final answer
    x = 7,296

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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.