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Finding the Fourth Proportional to 29,150.16, 40,222.62 and 17,211.84

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Solution

The fourth proportional to 29,150.16, 40,222.62 and 17,211.84 is: 23,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,150.16 : 40,222.62 = 17,211.84 : x
  2. Step 2: Convert to fraction form
    29,150.16/40,222.62 = 17,211.84/x
  3. Step 3: Cross multiply
    29,150.16x = 40,222.62 × 17,211.84
  4. Step 4: Simplify right side
    29,150.16x = 692,305,299.82
  5. Step 5: Solve for x
    x = 692,305,299.82/29,150.16
  6. Step 6: Final answer
    x = 23,749.62

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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.