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Finding the Fourth Proportional to 29,969.75, 41,357.86 and 16,541.28

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Solution

The fourth proportional to 29,969.75, 41,357.86 and 16,541.28 is: 22,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.75 : 41,357.86 = 16,541.28 : x
  2. Step 2: Convert to fraction form
    29,969.75/41,357.86 = 16,541.28/x
  3. Step 3: Cross multiply
    29,969.75x = 41,357.86 × 16,541.28
  4. Step 4: Simplify right side
    29,969.75x = 684,111,901.11
  5. Step 5: Solve for x
    x = 684,111,901.11/29,969.75
  6. Step 6: Final answer
    x = 22,826.75

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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.