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Finding the Fourth Proportional to 14,081.69, 19,431.41 and 8,415.31

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Solution

The fourth proportional to 14,081.69, 19,431.41 and 8,415.31 is: 11,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.69 : 19,431.41 = 8,415.31 : x
  2. Step 2: Convert to fraction form
    14,081.69/19,431.41 = 8,415.31/x
  3. Step 3: Cross multiply
    14,081.69x = 19,431.41 × 8,415.31
  4. Step 4: Simplify right side
    14,081.69x = 163,521,338.89
  5. Step 5: Solve for x
    x = 163,521,338.89/14,081.69
  6. Step 6: Final answer
    x = 11,612.34

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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.