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Finding the Fourth Proportional to 14,092.29, 19,447.38 and 7,804.71

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Solution

The fourth proportional to 14,092.29, 19,447.38 and 7,804.71 is: 10,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.29 : 19,447.38 = 7,804.71 : x
  2. Step 2: Convert to fraction form
    14,092.29/19,447.38 = 7,804.71/x
  3. Step 3: Cross multiply
    14,092.29x = 19,447.38 × 7,804.71
  4. Step 4: Simplify right side
    14,092.29x = 151,781,161.16
  5. Step 5: Solve for x
    x = 151,781,161.16/14,092.29
  6. Step 6: Final answer
    x = 10,770.51

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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.