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Finding the Fourth Proportional to 15,894.50, 21,934.41 and 10,305.50

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Solution

The fourth proportional to 15,894.50, 21,934.41 and 10,305.50 is: 14,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.50 : 21,934.41 = 10,305.50 : x
  2. Step 2: Convert to fraction form
    15,894.50/21,934.41 = 10,305.50/x
  3. Step 3: Cross multiply
    15,894.50x = 21,934.41 × 10,305.50
  4. Step 4: Simplify right side
    15,894.50x = 226,045,062.26
  5. Step 5: Solve for x
    x = 226,045,062.26/15,894.50
  6. Step 6: Final answer
    x = 14,221.59

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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.