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Finding the Fourth Proportional to 30,916.69, 42,665.03 and 16,769.63

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Solution

The fourth proportional to 30,916.69, 42,665.03 and 16,769.63 is: 23,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.69 : 42,665.03 = 16,769.63 : x
  2. Step 2: Convert to fraction form
    30,916.69/42,665.03 = 16,769.63/x
  3. Step 3: Cross multiply
    30,916.69x = 42,665.03 × 16,769.63
  4. Step 4: Simplify right side
    30,916.69x = 715,476,852.74
  5. Step 5: Solve for x
    x = 715,476,852.74/30,916.69
  6. Step 6: Final answer
    x = 23,142.09

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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.