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Finding the Fourth Proportional to 29,211.32, 43,812.66 and 10,739

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Solution

The fourth proportional to 29,211.32, 43,812.66 and 10,739 is: 16,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211.32 : 43,812.66 = 10,739 : x
  2. Step 2: Convert to fraction form
    29,211.32/43,812.66 = 10,739/x
  3. Step 3: Cross multiply
    29,211.32x = 43,812.66 × 10,739
  4. Step 4: Simplify right side
    29,211.32x = 470,504,155.74
  5. Step 5: Solve for x
    x = 470,504,155.74/29,211.32
  6. Step 6: Final answer
    x = 16,106.91

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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.