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Finding the Fourth Proportional to 14,194.89, 19,588 and 8,225.49

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Solution

The fourth proportional to 14,194.89, 19,588 and 8,225.49 is: 11,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.89 : 19,588 = 8,225.49 : x
  2. Step 2: Convert to fraction form
    14,194.89/19,588 = 8,225.49/x
  3. Step 3: Cross multiply
    14,194.89x = 19,588 × 8,225.49
  4. Step 4: Simplify right side
    14,194.89x = 161,120,898.12
  5. Step 5: Solve for x
    x = 161,120,898.12/14,194.89
  6. Step 6: Final answer
    x = 11,350.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.