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Finding the Fourth Proportional to 21,553.70, 32,338.44 and 9,076.86

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Solution

The fourth proportional to 21,553.70, 32,338.44 and 9,076.86 is: 13,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,553.70 : 32,338.44 = 9,076.86 : x
  2. Step 2: Convert to fraction form
    21,553.70/32,338.44 = 9,076.86/x
  3. Step 3: Cross multiply
    21,553.70x = 32,338.44 × 9,076.86
  4. Step 4: Simplify right side
    21,553.70x = 293,531,492.50
  5. Step 5: Solve for x
    x = 293,531,492.50/21,553.70
  6. Step 6: Final answer
    x = 13,618.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.