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Finding the Fourth Proportional to 29,935.42, 41,313.34 and 16,509.30

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Solution

The fourth proportional to 29,935.42, 41,313.34 and 16,509.30 is: 22,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,935.42 : 41,313.34 = 16,509.30 : x
  2. Step 2: Convert to fraction form
    29,935.42/41,313.34 = 16,509.30/x
  3. Step 3: Cross multiply
    29,935.42x = 41,313.34 × 16,509.30
  4. Step 4: Simplify right side
    29,935.42x = 682,054,324.06
  5. Step 5: Solve for x
    x = 682,054,324.06/29,935.42
  6. Step 6: Final answer
    x = 22,784.19

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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.