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Finding the Fourth Proportional to 19,580.33, 29,399.66 and 7,916.33

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Solution

The fourth proportional to 19,580.33, 29,399.66 and 7,916.33 is: 11,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.33 : 29,399.66 = 7,916.33 : x
  2. Step 2: Convert to fraction form
    19,580.33/29,399.66 = 7,916.33/x
  3. Step 3: Cross multiply
    19,580.33x = 29,399.66 × 7,916.33
  4. Step 4: Simplify right side
    19,580.33x = 232,737,370.87
  5. Step 5: Solve for x
    x = 232,737,370.87/19,580.33
  6. Step 6: Final answer
    x = 11,886.28

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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.