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Finding the Fourth Proportional to 29,516.86, 44,280.55 and 9,796.58

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Solution

The fourth proportional to 29,516.86, 44,280.55 and 9,796.58 is: 14,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,516.86 : 44,280.55 = 9,796.58 : x
  2. Step 2: Convert to fraction form
    29,516.86/44,280.55 = 9,796.58/x
  3. Step 3: Cross multiply
    29,516.86x = 44,280.55 × 9,796.58
  4. Step 4: Simplify right side
    29,516.86x = 433,797,950.52
  5. Step 5: Solve for x
    x = 433,797,950.52/29,516.86
  6. Step 6: Final answer
    x = 14,696.62

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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.