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Finding the Fourth Proportional to 15,894.72, 21,934.80 and 8,821.26

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Solution

The fourth proportional to 15,894.72, 21,934.80 and 8,821.26 is: 12,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.72 : 21,934.80 = 8,821.26 : x
  2. Step 2: Convert to fraction form
    15,894.72/21,934.80 = 8,821.26/x
  3. Step 3: Cross multiply
    15,894.72x = 21,934.80 × 8,821.26
  4. Step 4: Simplify right side
    15,894.72x = 193,492,573.85
  5. Step 5: Solve for x
    x = 193,492,573.85/15,894.72
  6. Step 6: Final answer
    x = 12,173.39

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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.