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Finding the Fourth Proportional to 14,059.74, 19,401.90 and 8,395.44

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Solution

The fourth proportional to 14,059.74, 19,401.90 and 8,395.44 is: 11,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.74 : 19,401.90 = 8,395.44 : x
  2. Step 2: Convert to fraction form
    14,059.74/19,401.90 = 8,395.44/x
  3. Step 3: Cross multiply
    14,059.74x = 19,401.90 × 8,395.44
  4. Step 4: Simplify right side
    14,059.74x = 162,887,487.34
  5. Step 5: Solve for x
    x = 162,887,487.34/14,059.74
  6. Step 6: Final answer
    x = 11,585.38

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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.