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Finding the Fourth Proportional to 16,058, 22,184.48 and 12,834.80

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Solution

The fourth proportional to 16,058, 22,184.48 and 12,834.80 is: 17,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058 : 22,184.48 = 12,834.80 : x
  2. Step 2: Convert to fraction form
    16,058/22,184.48 = 12,834.80/x
  3. Step 3: Cross multiply
    16,058x = 22,184.48 × 12,834.80
  4. Step 4: Simplify right side
    16,058x = 284,733,363.90
  5. Step 5: Solve for x
    x = 284,733,363.90/16,058
  6. Step 6: Final answer
    x = 17,731.56

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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.