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Finding the Fourth Proportional to 15,984.54, 22,058.78 and 8,911.42

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Solution

The fourth proportional to 15,984.54, 22,058.78 and 8,911.42 is: 12,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.54 : 22,058.78 = 8,911.42 : x
  2. Step 2: Convert to fraction form
    15,984.54/22,058.78 = 8,911.42/x
  3. Step 3: Cross multiply
    15,984.54x = 22,058.78 × 8,911.42
  4. Step 4: Simplify right side
    15,984.54x = 196,575,053.27
  5. Step 5: Solve for x
    x = 196,575,053.27/15,984.54
  6. Step 6: Final answer
    x = 12,297.82

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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.