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Finding the Fourth Proportional to 29,676.24, 44,516.52 and 9,946.80

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Solution

The fourth proportional to 29,676.24, 44,516.52 and 9,946.80 is: 14,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,676.24 : 44,516.52 = 9,946.80 : x
  2. Step 2: Convert to fraction form
    29,676.24/44,516.52 = 9,946.80/x
  3. Step 3: Cross multiply
    29,676.24x = 44,516.52 × 9,946.80
  4. Step 4: Simplify right side
    29,676.24x = 442,796,921.14
  5. Step 5: Solve for x
    x = 442,796,921.14/29,676.24
  6. Step 6: Final answer
    x = 14,920.92

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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.