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Finding the Fourth Proportional to 29,005.88, 43,516.10 and 8,229.38

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Solution

The fourth proportional to 29,005.88, 43,516.10 and 8,229.38 is: 12,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,005.88 : 43,516.10 = 8,229.38 : x
  2. Step 2: Convert to fraction form
    29,005.88/43,516.10 = 8,229.38/x
  3. Step 3: Cross multiply
    29,005.88x = 43,516.10 × 8,229.38
  4. Step 4: Simplify right side
    29,005.88x = 358,110,326.01
  5. Step 5: Solve for x
    x = 358,110,326.01/29,005.88
  6. Step 6: Final answer
    x = 12,346.13

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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.