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Finding the Fourth Proportional to 29,216, 43,824 and 9,760

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Solution

The fourth proportional to 29,216, 43,824 and 9,760 is: 14,640

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,216 : 43,824 = 9,760 : x
  2. Step 2: Convert to fraction form
    29,216/43,824 = 9,760/x
  3. Step 3: Cross multiply
    29,216x = 43,824 × 9,760
  4. Step 4: Simplify right side
    29,216x = 427,722,240
  5. Step 5: Solve for x
    x = 427,722,240/29,216
  6. Step 6: Final answer
    x = 14,640

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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.