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Finding the Fourth Proportional to 29,969.60, 41,358.06 and 16,541.82

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Solution

The fourth proportional to 29,969.60, 41,358.06 and 16,541.82 is: 22,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.60 : 41,358.06 = 16,541.82 : x
  2. Step 2: Convert to fraction form
    29,969.60/41,358.06 = 16,541.82/x
  3. Step 3: Cross multiply
    29,969.60x = 41,358.06 × 16,541.82
  4. Step 4: Simplify right side
    29,969.60x = 684,137,584.07
  5. Step 5: Solve for x
    x = 684,137,584.07/29,969.60
  6. Step 6: Final answer
    x = 22,827.72

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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.