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Finding the Fourth Proportional to 14,059.40, 19,402.32 and 8,092.92

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Solution

The fourth proportional to 14,059.40, 19,402.32 and 8,092.92 is: 11,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.40 : 19,402.32 = 8,092.92 : x
  2. Step 2: Convert to fraction form
    14,059.40/19,402.32 = 8,092.92/x
  3. Step 3: Cross multiply
    14,059.40x = 19,402.32 × 8,092.92
  4. Step 4: Simplify right side
    14,059.40x = 157,021,423.57
  5. Step 5: Solve for x
    x = 157,021,423.57/14,059.40
  6. Step 6: Final answer
    x = 11,168.43

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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.