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Finding the Fourth Proportional to 29,769.66, 41,082.63 and 16,342.17

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Solution

The fourth proportional to 29,769.66, 41,082.63 and 16,342.17 is: 22,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.66 : 41,082.63 = 16,342.17 : x
  2. Step 2: Convert to fraction form
    29,769.66/41,082.63 = 16,342.17/x
  3. Step 3: Cross multiply
    29,769.66x = 41,082.63 × 16,342.17
  4. Step 4: Simplify right side
    29,769.66x = 671,379,323.51
  5. Step 5: Solve for x
    x = 671,379,323.51/29,769.66
  6. Step 6: Final answer
    x = 22,552.47

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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.