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Finding the Fourth Proportional to 29,628.16, 40,896.64 and 17,056

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Solution

The fourth proportional to 29,628.16, 40,896.64 and 17,056 is: 23,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,628.16 : 40,896.64 = 17,056 : x
  2. Step 2: Convert to fraction form
    29,628.16/40,896.64 = 17,056/x
  3. Step 3: Cross multiply
    29,628.16x = 40,896.64 × 17,056
  4. Step 4: Simplify right side
    29,628.16x = 697,533,091.84
  5. Step 5: Solve for x
    x = 697,533,091.84/29,628.16
  6. Step 6: Final answer
    x = 23,542.91

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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.