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Finding the Fourth Proportional to 14,433.39, 19,917.50 and 8,146.17

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Solution

The fourth proportional to 14,433.39, 19,917.50 and 8,146.17 is: 11,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.39 : 19,917.50 = 8,146.17 : x
  2. Step 2: Convert to fraction form
    14,433.39/19,917.50 = 8,146.17/x
  3. Step 3: Cross multiply
    14,433.39x = 19,917.50 × 8,146.17
  4. Step 4: Simplify right side
    14,433.39x = 162,251,300.24
  5. Step 5: Solve for x
    x = 162,251,300.24/14,433.39
  6. Step 6: Final answer
    x = 11,241.39

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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.