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Finding the Fourth Proportional to 15,893.82, 21,934.50 and 8,820.24

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Solution

The fourth proportional to 15,893.82, 21,934.50 and 8,820.24 is: 12,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.82 : 21,934.50 = 8,820.24 : x
  2. Step 2: Convert to fraction form
    15,893.82/21,934.50 = 8,820.24/x
  3. Step 3: Cross multiply
    15,893.82x = 21,934.50 × 8,820.24
  4. Step 4: Simplify right side
    15,893.82x = 193,467,554.28
  5. Step 5: Solve for x
    x = 193,467,554.28/15,893.82
  6. Step 6: Final answer
    x = 12,172.50

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1.5x scale

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.