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Finding the Fourth Proportional to 30,916.92, 42,665.16 and 16,769.76

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Solution

The fourth proportional to 30,916.92, 42,665.16 and 16,769.76 is: 23,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.92 : 42,665.16 = 16,769.76 : x
  2. Step 2: Convert to fraction form
    30,916.92/42,665.16 = 16,769.76/x
  3. Step 3: Cross multiply
    30,916.92x = 42,665.16 × 16,769.76
  4. Step 4: Simplify right side
    30,916.92x = 715,484,493.56
  5. Step 5: Solve for x
    x = 715,484,493.56/30,916.92
  6. Step 6: Final answer
    x = 23,142.17

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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.