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Finding the Fourth Proportional to 19,371.56, 29,068.41 and 16,124

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Solution

The fourth proportional to 19,371.56, 29,068.41 and 16,124 is: 24,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,371.56 : 29,068.41 = 16,124 : x
  2. Step 2: Convert to fraction form
    19,371.56/29,068.41 = 16,124/x
  3. Step 3: Cross multiply
    19,371.56x = 29,068.41 × 16,124
  4. Step 4: Simplify right side
    19,371.56x = 468,699,042.84
  5. Step 5: Solve for x
    x = 468,699,042.84/19,371.56
  6. Step 6: Final answer
    x = 24,195.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.