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Finding the Fourth Proportional to 22,712.33, 34,058.77 and 7,916.87

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Solution

The fourth proportional to 22,712.33, 34,058.77 and 7,916.87 is: 11,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.33 : 34,058.77 = 7,916.87 : x
  2. Step 2: Convert to fraction form
    22,712.33/34,058.77 = 7,916.87/x
  3. Step 3: Cross multiply
    22,712.33x = 34,058.77 × 7,916.87
  4. Step 4: Simplify right side
    22,712.33x = 269,638,854.45
  5. Step 5: Solve for x
    x = 269,638,854.45/22,712.33
  6. Step 6: Final answer
    x = 11,871.92

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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.