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Finding the Fourth Proportional to 19,453.51, 29,169.81 and 6,124

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Solution

The fourth proportional to 19,453.51, 29,169.81 and 6,124 is: 9,182.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453.51 : 29,169.81 = 6,124 : x
  2. Step 2: Convert to fraction form
    19,453.51/29,169.81 = 6,124/x
  3. Step 3: Cross multiply
    19,453.51x = 29,169.81 × 6,124
  4. Step 4: Simplify right side
    19,453.51x = 178,635,916.44
  5. Step 5: Solve for x
    x = 178,635,916.44/19,453.51
  6. Step 6: Final answer
    x = 9,182.71

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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.